101010055091400 has 576 divisors, whose sum is σ = 420555826454400. Its totient is φ = 21156444794880.

The previous prime is 101010055091359. The next prime is 101010055091411. The reversal of 101010055091400 is 4190550010101.

101010055091400 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 10 + 0 + 5 + 509 + 140 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20189991 + ... + 24691209.

It is an arithmetic number, because the mean of its divisors is an integer number (730131643150).

Almost surely, 2^{101010055091400} is an apocalyptic number.

101010055091400 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 101010055091400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210277913227200).

101010055091400 is an abundant number, since it is smaller than the sum of its proper divisors (319545771363000).

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

101010055091400 is a wasteful number, since it uses less digits than its factorization.

101010055091400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501398 (or 4501386 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 101010055091400 in words is "one hundred one trillion, ten billion, fifty-five million, ninety-one thousand, four hundred".