201102121201102 has 96 divisors (see below), whose sum is σ = 338684995504800. Its totient is φ = 89469452160000.

The previous prime is 201102121201057. The next prime is 201102121201151.

201102121201102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19775992674 + ... + 19776002842.

It is an arithmetic number, because the mean of its divisors is an integer number (3527968703175).

Almost surely, 2^{201102121201102} is an apocalyptic number.

201102121201102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201102121201102 is a deficient number, since it is larger than the sum of its proper divisors (137582874303698).

201102121201102 is a wasteful number, since it uses less digits than its factorization.

201102121201102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19474 (or 19463 counting only the distinct ones).

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

It can be divided in two parts, 20110 and 2121201102, that added together give a palindrome (2121221212).

The spelling of 201102121201102 in words is "two hundred one trillion, one hundred two billion, one hundred twenty-one million, two hundred one thousand, one hundred two".