10002131022112 has 96 divisors (see below), whose sum is σ = 20558565780480. Its totient is φ = 4784120033280.

The previous prime is 10002131022097. The next prime is 10002131022133. The reversal of 10002131022112 is 21122013120001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310695937 + ... + 310728127.

It is an arithmetic number, because the mean of its divisors is an integer number (214151726880).

Almost surely, 2^{10002131022112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002131022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10279282890240).

10002131022112 is an abundant number, since it is smaller than the sum of its proper divisors (10556434758368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10002131022112 is a wasteful number, since it uses less digits than its factorization.

10002131022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35306 (or 35298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10002131022112 its reverse (21122013120001), we get a palindrome (31124144142113).

The spelling of 10002131022112 in words is "ten trillion, two billion, one hundred thirty-one million, twenty-two thousand, one hundred twelve".