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101002022022010 = 2543607745751893
BaseRepresentation
bin10110111101110001011101…
…101001001110101101111010
3111020121200212120112022111211
4112331301131221032231322
5101214304120114201020
6554451404404113334
730163104155613214
oct2675613551165572
9436550776468454
10101002022022010
112a20079835013a
12b3b2a5099584a
1344485b02c96c5
141ad2749a075b4
15ba24637e885a
hex5bdc5da4eb7a

101002022022010 has 64 divisors (see below), whose sum is σ = 186366688054272. Its totient is φ = 39390202607616.

The previous prime is 101002022022007. The next prime is 101002022022019. The reversal of 101002022022010 is 10220220200101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101002022022019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1946325624 + ... + 1946377516.

It is an arithmetic number, because the mean of its divisors is an integer number (2911979500848).

Almost surely, 2101002022022010 is an apocalyptic number.

101002022022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002022022010 is a deficient number, since it is larger than the sum of its proper divisors (85364666032262).

101002022022010 is a wasteful number, since it uses less digits than its factorization.

101002022022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60007.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101002022022010 its reverse (10220220200101), we get a palindrome (111222242222111).

The spelling of 101002022022010 in words is "one hundred one trillion, two billion, twenty-two million, twenty-two thousand, ten".

Divisors: 1 2 5 10 43 86 215 430 607 1214 3035 6070 7457 14914 26101 37285 51893 52202 74570 103786 130505 259465 261010 320651 518930 641302 1603255 2231399 3206510 4462798 4526399 9052798 11156995 22313990 22631995 31499051 45263990 62998102 157495255 194635157 314990510 386966101 389270314 773932202 973175785 1354459193 1934830505 1946351570 2708918386 3869661010 6772295965 13544591930 16639542343 33279084686 83197711715 166395423430 234888423307 469776846614 1174442116535 2348884233070 10100202202201 20200404404402 50501011011005 101002022022010