10101107952 has 120 divisors (see below), whose sum is σ = 31425849728. Its totient is φ = 3007756800.

The previous prime is 10101107897. The next prime is 10101107953. The reversal of 10101107952 is 25970110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101107953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28999 + ... + 145062.

Almost surely, 2^10101107952 is an apocalyptic number.

10101107952 is a gapful number since it is divisible by the number (12) 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 10101107952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712924864).

10101107952 is an abundant number, since it is smaller than the sum of its proper divisors (21324741776).

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

10101107952 is a wasteful number, since it uses less digits than its factorization.

10101107952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174119 (or 174110 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The spelling of 10101107952 in words is "ten billion, one hundred one million, one hundred seven thousand, nine hundred fifty-two".