101621903387040 has 576 divisors, whose sum is σ = 368510066870400. Its totient is φ = 26430324572160.

The previous prime is 101621903387033. The next prime is 101621903387051. The reversal of 101621903387040 is 40783309126101.

101621903387040 is a `hidden beast` number, since 1 + 0 + 1 + 62 + 190 + 338 + 70 + 4 + 0 = 666.

101621903387040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101621903387040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6913517611 + ... + 6913532309.

It is an arithmetic number, because the mean of its divisors is an integer number (639774421650).

Almost surely, 2^{101621903387040} is an apocalyptic number.

101621903387040 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 101621903387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184255033435200).

101621903387040 is an abundant number, since it is smaller than the sum of its proper divisors (266888163483360).

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

101621903387040 is a wasteful number, since it uses less digits than its factorization.

101621903387040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19107 (or 19087 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 101621903387040 in words is "one hundred one trillion, six hundred twenty-one billion, nine hundred three million, three hundred eighty-seven thousand, forty".