102102111201201 has 32 divisors (see below), whose sum is σ = 143687683399680. Its totient is φ = 64311745478400.

The previous prime is 102102111201161. The next prime is 102102111201263.

It is a happy number.

102102111201201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102102111201201 - 2⁶ = 102102111201137 is a prime.

It is a super-2 number, since 2×102102111201201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102102111201281) 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, 63150156 + ... + 64746786.

It is an arithmetic number, because the mean of its divisors is an integer number (4490240106240).

Almost surely, 2^{102102111201201} is an apocalyptic number.

It is an amenable number.

102102111201201 is a deficient number, since it is larger than the sum of its proper divisors (41585572198479).

102102111201201 is a wasteful number, since it uses less digits than its factorization.

102102111201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599677.

The product of its (nonzero) digits is 16, while the sum is 15.

The spelling of 102102111201201 in words is "one hundred two trillion, one hundred two billion, one hundred eleven million, two hundred one thousand, two hundred one".