102211120100021 has 32 divisors (see below), whose sum is σ = 110963060562816. Its totient is φ = 93767829760000.

The previous prime is 102211120100003. The next prime is 102211120100029. The reversal of 102211120100021 is 120001021112201.

It is a cyclic number.

It is not a de Polignac number, because 102211120100021 - 2¹⁴ = 102211120083637 is a prime.

It is a super-3 number, since 3×102211120100021³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102211120099969 and 102211120100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211120100029) 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, 7092569306 + ... + 7092583716.

It is an arithmetic number, because the mean of its divisors is an integer number (3467595642588).

Almost surely, 2^{102211120100021} is an apocalyptic number.

It is an amenable number.

102211120100021 is a deficient number, since it is larger than the sum of its proper divisors (8751940462795).

102211120100021 is a wasteful number, since it uses less digits than its factorization.

102211120100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22933.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102211120100021 its reverse (120001021112201), we get a palindrome (222212141212222).

The spelling of 102211120100021 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty million, one hundred thousand, twenty-one".