10020931836900 has 288 divisors, whose sum is σ = 30896372505600. Its totient is φ = 2500496064000.

The previous prime is 10020931836803. The next prime is 10020931836901. The reversal of 10020931836900 is 963813902001.

It is a super-2 number, since 2×10020931836900² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10020931836901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241197529 + ... + 241239071.

It is an arithmetic number, because the mean of its divisors is an integer number (107279071200).

Almost surely, 2^{10020931836900} is an apocalyptic number.

10020931836900 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 10020931836900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15448186252800).

10020931836900 is an abundant number, since it is smaller than the sum of its proper divisors (20875440668700).

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

10020931836900 is a wasteful number, since it uses less digits than its factorization.

10020931836900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42099 (or 42092 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 10020931836900 in words is "ten trillion, twenty billion, nine hundred thirty-one million, eight hundred thirty-six thousand, nine hundred".