102112011001 has 64 divisors (see below), whose sum is σ = 140186350080. Its totient is φ = 71804528640.

The previous prime is 102112010999. The next prime is 102112011037. The reversal of 102112011001 is 100110211201.

It is not a de Polignac number, because 102112011001 - 2¹ = 102112010999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112011061) 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, 15541245 + ... + 15547813.

It is an arithmetic number, because the mean of its divisors is an integer number (2190411720).

Almost surely, 2^102112011001 is an apocalyptic number.

102112011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112011001 is a deficient number, since it is larger than the sum of its proper divisors (38074339079).

102112011001 is a wasteful number, since it uses less digits than its factorization.

102112011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102112011001 its reverse (100110211201), we get a palindrome (202222222202).

It can be divided in two parts, 10211201 and 1001, that multiplied together give a palindrome (10221412201).

The spelling of 102112011001 in words is "one hundred two billion, one hundred twelve million, eleven thousand, one".