10101074747400 has 1728 divisors, whose sum is σ = 43824682072080. Its totient is φ = 2065106534400.

The previous prime is 10101074747303. The next prime is 10101074747461. The reversal of 10101074747400 is 474747010101.

10101074747400 is a `hidden beast` number, since 1 + 0 + 10 + 107 + 474 + 74 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 2369547684 + 10098705199716 = 48678^2 + 3177846^2 .

It is a super-2 number, since 2×10101074747400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 19387859140 + ... + 19387859660.

Almost surely, 2^{10101074747400} is an apocalyptic number.

10101074747400 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 10101074747400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21912341036040).

10101074747400 is an abundant number, since it is smaller than the sum of its proper divisors (33723607324680).

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

10101074747400 is a wasteful number, since it uses less digits than its factorization.

10101074747400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 10101074747400 in words is "ten trillion, one hundred one billion, seventy-four million, seven hundred forty-seven thousand, four hundred".