10010561010 has 64 divisors (see below), whose sum is σ = 25504502400. Its totient is φ = 2505946112.

The previous prime is 10010561003. The next prime is 10010561021. The reversal of 10010561010 is 1016501001.

It is a super-2 number, since 2×10010561010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173161 + ... + 223619.

It is an arithmetic number, because the mean of its divisors is an integer number (398507850).

Almost surely, 2^10010561010 is an apocalyptic number.

10010561010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010561010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12752251200).

10010561010 is an abundant number, since it is smaller than the sum of its proper divisors (15493941390).

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

10010561010 is a wasteful number, since it uses less digits than its factorization.

10010561010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50875.

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 10010561010 in words is "ten billion, ten million, five hundred sixty-one thousand, ten".