10220990616900 has 432 divisors, whose sum is σ = 37603229489280. Its totient is φ = 2273882112000.

The previous prime is 10220990616827. The next prime is 10220990616931. The reversal of 10220990616900 is 961609902201.

10220990616900 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 9 + 9 + 0 + 616 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×10220990616900² (a number of 27 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37405572 + ... + 37677828.

Almost surely, 2^{10220990616900} is an apocalyptic number.

10220990616900 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 10220990616900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18801614744640).

10220990616900 is an abundant number, since it is smaller than the sum of its proper divisors (27382238872380).

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

10220990616900 is a wasteful number, since it uses less digits than its factorization.

10220990616900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272444 (or 272434 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 10220990616900 in words is "ten trillion, two hundred twenty billion, nine hundred ninety million, six hundred sixteen thousand, nine hundred".