102211111100021 has 32 divisors (see below), whose sum is σ = 134612973696000. Its totient is φ = 75186559082880.

The previous prime is 102211111099997. The next prime is 102211111100041. The reversal of 102211111100021 is 120001111112201.

It is not a de Polignac number, because 102211111100021 - 2¹⁴ = 102211111083637 is a prime.

It is a super-2 number, since 2×102211111100021² (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 = 102211111099969 and 102211111100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211111100041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123020696 + ... + 123848753.

It is an arithmetic number, because the mean of its divisors is an integer number (4206655428000).

Almost surely, 2^{102211111100021} is an apocalyptic number.

102211111100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102211111100021 is a deficient number, since it is larger than the sum of its proper divisors (32401862595979).

102211111100021 is a wasteful number, since it uses less digits than its factorization.

102211111100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246869769.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102211111100021 its reverse (120001111112201), we get a palindrome (222212222212222).

The spelling of 102211111100021 in words is "one hundred two trillion, two hundred eleven billion, one hundred eleven million, one hundred thousand, twenty-one".