102112010001 has 24 divisors (see below), whose sum is σ = 150998687840. Its totient is φ = 66459185856.

The previous prime is 102112009927. The next prime is 102112010009. The reversal of 102112010001 is 100010211201.

It is a happy number.

It is not a de Polignac number, because 102112010001 - 2¹³ = 102112001809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112010009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745290 + ... + 871596.

Almost surely, 2^102112010001 is an apocalyptic number.

It is an amenable number.

102112010001 is a deficient number, since it is larger than the sum of its proper divisors (48886677839).

102112010001 is a wasteful number, since it uses less digits than its factorization.

102112010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128445 (or 128442 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102112010001 its reverse (100010211201), we get a palindrome (202122221202).

The spelling of 102112010001 in words is "one hundred two billion, one hundred twelve million, ten thousand, one".