10101298705200 has 180 divisors, whose sum is σ = 35164897823328. Its totient is φ = 2685181939200.

The previous prime is 10101298705193. The next prime is 10101298705207. The reversal of 10101298705200 is 250789210101.

It is a happy number.

10101298705200 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 129 + 8 + 7 + 0 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10101298705193) and next prime (10101298705207).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10101298705207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3284536 + ... + 5566935.

Almost surely, 2^{10101298705200} is an apocalyptic number.

10101298705200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101298705200 is an abundant number, since it is smaller than the sum of its proper divisors (25063599118128).

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

10101298705200 is a wasteful number, since it uses less digits than its factorization.

10101298705200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8851812 (or 8851798 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 10101298705200 in words is "ten trillion, one hundred one billion, two hundred ninety-eight million, seven hundred five thousand, two hundred".