1010135200400 has 120 divisors (see below), whose sum is σ = 2474160616800. Its totient is φ = 396211456000.

The previous prime is 1010135200397. The next prime is 1010135200463. The reversal of 1010135200400 is 40025310101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9410231 + ... + 9516969.

It is an arithmetic number, because the mean of its divisors is an integer number (20618005140).

Almost surely, 2^{1010135200400} is an apocalyptic number.

1010135200400 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 1010135200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237080308400).

1010135200400 is an abundant number, since it is smaller than the sum of its proper divisors (1464025416400).

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

1010135200400 is a wasteful number, since it uses less digits than its factorization.

1010135200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107217 (or 107206 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The spelling of 1010135200400 in words is "one trillion, ten billion, one hundred thirty-five million, two hundred thousand, four hundred".