102211122100021 has 16 divisors (see below), whose sum is σ = 112850245110528. Its totient is φ = 91800506952000.

The previous prime is 102211122099971. The next prime is 102211122100067. The reversal of 102211122100021 is 120001221112201.

It is not a de Polignac number, because 102211122100021 - 2¹⁹ = 102211121575733 is a prime.

It is a super-2 number, since 2×102211122100021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102211122099968 and 102211122100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211122100121) 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 15 ways as a sum of consecutive naturals, for example, 98836806 + ... + 99865591.

It is an arithmetic number, because the mean of its divisors is an integer number (7053140319408).

Almost surely, 2^{102211122100021} is an apocalyptic number.

102211122100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102211122100021 is a deficient number, since it is larger than the sum of its proper divisors (10639123010507).

102211122100021 is a wasteful number, since it uses less digits than its factorization.

102211122100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198702972.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102211122100021 its reverse (120001221112201), we get a palindrome (222212343212222).

It can be divided in two parts, 1022111 and 22100021, that added together give a palindrome (23122132).

The spelling of 102211122100021 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thousand, twenty-one".