10211113920 has 504 divisors, whose sum is σ = 40288335984. Its totient is φ = 2177236992.

The previous prime is 10211113873. The next prime is 10211113967. The reversal of 10211113920 is 2931111201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10211113873) and next prime (10211113967).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90363784 + ... + 90363896.

Almost surely, 2^10211113920 is an apocalyptic number.

10211113920 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 10211113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20144167992).

10211113920 is an abundant number, since it is smaller than the sum of its proper divisors (30077222064).

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

10211113920 is a wasteful number, since it uses less digits than its factorization.

10211113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 10211113920 in words is "ten billion, two hundred eleven million, one hundred thirteen thousand, nine hundred twenty".