10101021312400 has 60 divisors (see below), whose sum is σ = 24371857162692. Its totient is φ = 4023067678720.

The previous prime is 10101021312397. The next prime is 10101021312419. The reversal of 10101021312400 is 421312010101.

It can be written as a sum of positive squares in 6 ways, for example, as 2232143569296 + 7868877743104 = 1494036^2 + 2805152^2 .

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 11 ways as a sum of consecutive naturals, for example, 54096829 + ... + 54283228.

Almost surely, 2^{10101021312400} is an apocalyptic number.

10101021312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101021312400 is an abundant number, since it is smaller than the sum of its proper divisors (14270835850292).

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

10101021312400 is a wasteful number, since it uses less digits than its factorization.

10101021312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108380308 (or 108380297 counting only the distinct ones).

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

Adding to 10101021312400 its reverse (421312010101), we get a palindrome (10522333322501).

The spelling of 10101021312400 in words is "ten trillion, one hundred one billion, twenty-one million, three hundred twelve thousand, four hundred".