10202121100992 has 56 divisors (see below), whose sum is σ = 27029937980656. Its totient is φ = 3396067550208.

The previous prime is 10202121100991. The next prime is 10202121101069. The reversal of 10202121100992 is 29900112120201.

It is not an unprimeable number, because it can be changed into a prime (10202121100991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36104863 + ... + 36386334.

Almost surely, 2^{10202121100992} is an apocalyptic number.

10202121100992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202121100992 is an abundant number, since it is smaller than the sum of its proper divisors (16827816879664).

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

10202121100992 is an equidigital number, since it uses as much as digits as its factorization.

10202121100992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72491945 (or 72491935 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 10202121100992 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred thousand, nine hundred ninety-two".