102212200102101 has 16 divisors (see below), whose sum is σ = 136461075552000. Its totient is φ = 68052412260288.

The previous prime is 102212200102097. The next prime is 102212200102189. The reversal of 102212200102101 is 101201002212201.

It is not a de Polignac number, because 102212200102101 - 2² = 102212200102097 is a prime.

It is a super-2 number, since 2×102212200102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212200101101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22677700 + ... + 26808626.

It is an arithmetic number, because the mean of its divisors is an integer number (8528817222000).

Almost surely, 2^{102212200102101} is an apocalyptic number.

It is an amenable number.

102212200102101 is a deficient number, since it is larger than the sum of its proper divisors (34248875449899).

102212200102101 is an equidigital number, since it uses as much as digits as its factorization.

102212200102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141708.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102212200102101 its reverse (101201002212201), we get a palindrome (203413202314302).

The spelling of 102212200102101 in words is "one hundred two trillion, two hundred twelve billion, two hundred million, one hundred two thousand, one hundred one".