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101102220021 = 311172937533169
BaseRepresentation
bin101111000101000101…
…0010111001011110101
3100122221222122220212110
41132022022113023311
53124024132020041
6114240135241233
710206256455645
oct1361212271365
9318858586773
10101102220021
1139971627340
1217716b19219
1396c2c89a3a
144c715ba525
15296adad516
hex178a2972f5

101102220021 has 128 divisors (see below), whose sum is σ = 168605452800. Its totient is φ = 53137244160.

The previous prime is 101102220019. The next prime is 101102220041. The reversal of 101102220021 is 120022201101.

It is not a de Polignac number, because 101102220021 - 21 = 101102220019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102219979 and 101102220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102220041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31901925 + ... + 31905093.

It is an arithmetic number, because the mean of its divisors is an integer number (1317230100).

Almost surely, 2101102220021 is an apocalyptic number.

101102220021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102220021 is a deficient number, since it is larger than the sum of its proper divisors (67503232779).

101102220021 is a wasteful number, since it uses less digits than its factorization.

101102220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101102220021 its reverse (120022201101), we get a palindrome (221124421122).

It can be divided in two parts, 101102 and 220021, that added together give a palindrome (321123).

The spelling of 101102220021 in words is "one hundred one billion, one hundred two million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 11 17 29 33 37 51 53 87 111 159 187 319 407 493 561 583 629 901 957 1073 1221 1479 1537 1749 1887 1961 2703 3169 3219 4611 5423 5883 6919 9507 9911 11803 16269 16907 18241 20757 21571 26129 29733 33337 34859 35409 50721 53873 54723 56869 64713 78387 91901 100011 104577 117253 161619 167957 170607 200651 275703 287419 351759 366707 503871 592603 601953 625559 862257 966773 1010911 1100121 1289783 1562317 1777809 1847527 1876677 1993301 2855269 2900319 3032733 3400337 3869349 4686951 4870753 5542581 5979903 6214409 8565807 10201011 10634503 14612259 17185487 18643227 21926311 31407959 31903509 37403707 51556461 53578283 57805729 65778933 68358499 82802801 94223877 105644953 112211121 160734849 173417187 180217861 205075497 248408403 316934859 540653583 635863019 910830811 1162094483 1907589057 1982396471 2732492433 3063703637 3486283449 5947189413 9191110911 33700740007 101102220021