101038080000 has 1200 divisors, whose sum is σ = 412732083456. Its totient is φ = 21626880000.

The previous prime is 101038079971. The next prime is 101038080049. The reversal of 101038080000 is 80830101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×101038080000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4392959989 + ... + 4392960011.

Almost surely, 2^101038080000 is an apocalyptic number.

101038080000 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 101038080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206366041728).

101038080000 is an abundant number, since it is smaller than the sum of its proper divisors (311694003456).

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

101038080000 is an equidigital number, since it uses as much as digits as its factorization.

101038080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 101038080000 in words is "one hundred one billion, thirty-eight million, eighty thousand".