10101361920 has 288 divisors, whose sum is σ = 36789645312. Its totient is φ = 2340028416.

The previous prime is 10101361889. The next prime is 10101361969. The reversal of 10101361920 is 2916310101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent 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, 842689 + ... + 854591.

It is an arithmetic number, because the mean of its divisors is an integer number (127741824).

Almost surely, 2^10101361920 is an apocalyptic number.

10101361920 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 10101361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18394822656).

10101361920 is an abundant number, since it is smaller than the sum of its proper divisors (26688283392).

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

10101361920 is a wasteful number, since it uses less digits than its factorization.

10101361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11957 (or 11943 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 10101361920 in words is "ten billion, one hundred one million, three hundred sixty-one thousand, nine hundred twenty".