102125026201 has 48 divisors (see below), whose sum is σ = 119333047680. Its totient is φ = 87087052800.

The previous prime is 102125026193. The next prime is 102125026231. The reversal of 102125026201 is 102620521201.

It is not a de Polignac number, because 102125026201 - 2³ = 102125026193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102125026231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176992825 + ... + 176993401.

It is an arithmetic number, because the mean of its divisors is an integer number (2486105160).

Almost surely, 2^102125026201 is an apocalyptic number.

102125026201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102125026201 is a deficient number, since it is larger than the sum of its proper divisors (17208021479).

102125026201 is a wasteful number, since it uses less digits than its factorization.

102125026201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Multiplying 102125026201 by its sum of digits (22), we get a palindrome (2246750576422).

Adding to 102125026201 its reverse (102620521201), we get a palindrome (204745547402).

The spelling of 102125026201 in words is "one hundred two billion, one hundred twenty-five million, twenty-six thousand, two hundred one".