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102220001212021 = 711101337263314813
BaseRepresentation
bin10111001111011111110010…
…110111000111011001110101
3111101221010200122020220120121
4113033133302313013121311
5101344233030302241041
61001223115325131541
730350102631116650
oct2717376267073165
9441833618226517
10102220001212021
112a6302938a5850
12b56ab076b9bb1
1345063c6709984
141b3568dca2897
15bc3e9bb2b7d1
hex5cf7f2dc7675

102220001212021 has 64 divisors (see below), whose sum is σ = 129144589456896. Its totient is φ = 78594130944000.

The previous prime is 102220001211949. The next prime is 102220001212033. The reversal of 102220001212021 is 120212100022201.

It is a happy number.

It is not a de Polignac number, because 102220001212021 - 29 = 102220001211509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102220001211986 and 102220001212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220001212081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6900688011 + ... + 6900702823.

It is an arithmetic number, because the mean of its divisors is an integer number (2017884210264).

Almost surely, 2102220001212021 is an apocalyptic number.

102220001212021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102220001212021 is a deficient number, since it is larger than the sum of its proper divisors (26924588244875).

102220001212021 is a wasteful number, since it uses less digits than its factorization.

102220001212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17902.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102220001212021 its reverse (120212100022201), we get a palindrome (222432101234222).

The spelling of 102220001212021 in words is "one hundred two trillion, two hundred twenty billion, one million, two hundred twelve thousand, twenty-one".

Divisors: 1 7 11 77 101 337 707 1111 2359 2633 3707 7777 14813 18431 25949 28963 34037 103691 162943 202741 238259 265933 374407 887321 1140601 1496113 1861531 2620849 2925263 4991981 6211247 9760531 10472791 16457243 20476841 34943867 39002629 54911791 68323717 89619421 115200701 273018403 384382537 429028919 504190081 627335947 985813631 3003202433 3529330567 3939265529 5546090891 6900695417 13143885973 27574858703 38822636237 43331920819 92007201811 144582745703 303323445733 1012079219921 1327532483273 9292727382911 14602857316003 102220001212021