101156630744400 has 960 divisors, whose sum is σ = 412418270208000. Its totient is φ = 21010510080000.

The previous prime is 101156630744359. The next prime is 101156630744467. The reversal of 101156630744400 is 4447036651101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17743661550 + ... + 17743667250.

It is an arithmetic number, because the mean of its divisors is an integer number (429602364800).

Almost surely, 2^{101156630744400} is an apocalyptic number.

101156630744400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101156630744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206209135104000).

101156630744400 is an abundant number, since it is smaller than the sum of its proper divisors (311261639463600).

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

101156630744400 is a wasteful number, since it uses less digits than its factorization.

101156630744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9673 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 101156630744400 in words is "one hundred one trillion, one hundred fifty-six billion, six hundred thirty million, seven hundred forty-four thousand, four hundred".