101054015513400 has 192 divisors, whose sum is σ = 324216336549600. Its totient is φ = 26006738114560.

The previous prime is 101054015513387. The next prime is 101054015513443. The reversal of 101054015513400 is 4315510450101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37194022 + ... + 39818378.

Almost surely, 2^{101054015513400} is an apocalyptic number.

101054015513400 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 101054015513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162108168274800).

101054015513400 is an abundant number, since it is smaller than the sum of its proper divisors (223162321036200).

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

101054015513400 is a wasteful number, since it uses less digits than its factorization.

101054015513400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626618 (or 2626609 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 101054015513400 its reverse (4315510450101), we get a palindrome (105369525963501).

The spelling of 101054015513400 in words is "one hundred one trillion, fifty-four billion, fifteen million, five hundred thirteen thousand, four hundred".