102162261201 has 64 divisors (see below), whose sum is σ = 182973536256. Its totient is φ = 48967027200.

The previous prime is 102162261199. The next prime is 102162261217.

102162261201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102162261201 - 2¹ = 102162261199 is a prime.

It is a super-2 number, since 2×102162261201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102162261241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8194965 + ... + 8207421.

It is an arithmetic number, because the mean of its divisors is an integer number (2858961504).

Almost surely, 2^102162261201 is an apocalyptic number.

102162261201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102162261201 is a deficient number, since it is larger than the sum of its proper divisors (80811275055).

102162261201 is a wasteful number, since it uses less digits than its factorization.

102162261201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15222.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 102162 and 261201, that added together give a palindrome (363363).

The spelling of 102162261201 in words is "one hundred two billion, one hundred sixty-two million, two hundred sixty-one thousand, two hundred one".