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102022121012201 = 1373791360821131
BaseRepresentation
bin10111001100100111100000…
…010010000011101111101001
3111101020012221000202020020222
4113030213200102003233221
5101333012300434342301
61000552152041455425
730326566160144255
oct2714474022035751
9441205830666228
10102022121012201
112a56437a666925
12b5386a1aa1575
1344c084c61bb40
141b29c7b543265
15bbdc6983131b
hex5cc9e0483be9

102022121012201 has 16 divisors (see below), whose sum is σ = 112784855420160. Its totient is φ = 91708457592960.

The previous prime is 102022121012143. The next prime is 102022121012213. The reversal of 102022121012201 is 102210121220201.

It is a de Polignac number, because none of the positive numbers 2k-102022121012201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102022121012201.

It is not an unprimeable number, because it can be changed into a prime (102022121012701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680335595 + ... + 680485536.

It is an arithmetic number, because the mean of its divisors is an integer number (7049053463760).

Almost surely, 2102022121012201 is an apocalyptic number.

It is an amenable number.

102022121012201 is a deficient number, since it is larger than the sum of its proper divisors (10762734407959).

102022121012201 is a wasteful number, since it uses less digits than its factorization.

102022121012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360821296.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102022121012201 its reverse (102210121220201), we get a palindrome (204232242232402).

The spelling of 102022121012201 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-one million, twelve thousand, two hundred one".

Divisors: 1 13 73 79 949 1027 5767 74971 1360821131 17690674703 99339942563 107504869349 1291419253319 1397563301537 7847855462477 102022121012201