102121121201 has 16 divisors (see below), whose sum is σ = 113250388416. Its totient is φ = 91299960000.

The previous prime is 102121121191. The next prime is 102121121231.

102121121201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102121121201 - 2¹⁴ = 102121104817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102121121231) 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, 6091691 + ... + 6108431.

It is an arithmetic number, because the mean of its divisors is an integer number (7078149276).

Almost surely, 2^102121121201 is an apocalyptic number.

102121121201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102121121201 is a deficient number, since it is larger than the sum of its proper divisors (11129267215).

102121121201 is a wasteful number, since it uses less digits than its factorization.

102121121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25904.

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

It can be divided in two parts, 102121 and 121201, that added together give a palindrome (223322).

The spelling of 102121121201 in words is "one hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred one".