10213556012100 has 1008 divisors, whose sum is σ = 39751505240832. Its totient is φ = 2226084664320.

The previous prime is 10213556012083. The next prime is 10213556012111. The reversal of 10213556012100 is 121065531201.

10213556012100 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 55 + 601 + 2 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4377862534 + ... + 4377864866.

It is an arithmetic number, because the mean of its divisors is an integer number (39436017104).

Almost surely, 2^{10213556012100} is an apocalyptic number.

10213556012100 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 10213556012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19875752620416).

10213556012100 is an abundant number, since it is smaller than the sum of its proper divisors (29537949228732).

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

10213556012100 is a wasteful number, since it uses less digits than its factorization.

10213556012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10213556012100 in words is "ten trillion, two hundred thirteen billion, five hundred fifty-six million, twelve thousand, one hundred".