10100101452960 has 384 divisors, whose sum is σ = 34206910343424. Its totient is φ = 2495828459520.

The previous prime is 10100101452949. The next prime is 10100101452971. The reversal of 10100101452960 is 6925410100101.

10100101452960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10100101452949) and next prime (10100101452971).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1548854500 + ... + 1548861020.

It is an arithmetic number, because the mean of its divisors is an integer number (89080495686).

Almost surely, 2^{10100101452960} is an apocalyptic number.

10100101452960 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 10100101452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17103455171712).

10100101452960 is an abundant number, since it is smaller than the sum of its proper divisors (24106808890464).

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

10100101452960 is a wasteful number, since it uses less digits than its factorization.

10100101452960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9456 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 10100101452960 in words is "ten trillion, one hundred billion, one hundred one million, four hundred fifty-two thousand, nine hundred sixty".