101425553400000 has 672 divisors, whose sum is σ = 346630092754176. Its totient is φ = 26155584000000.

The previous prime is 101425553399987. The next prime is 101425553400049. The reversal of 101425553400000 is 4355524101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2605780539 + ... + 2605819461.

It is an arithmetic number, because the mean of its divisors is an integer number (515818590408).

Almost surely, 2^{101425553400000} is an apocalyptic number.

101425553400000 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 101425553400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173315046377088).

101425553400000 is an abundant number, since it is smaller than the sum of its proper divisors (245204539354176).

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

101425553400000 is an equidigital number, since it uses as much as digits as its factorization.

101425553400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39107 (or 39077 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 101425553400000 in words is "one hundred one trillion, four hundred twenty-five billion, five hundred fifty-three million, four hundred thousand".