1021100097600 has 1008 divisors, whose sum is σ = 4182069116160. Its totient is φ = 233694720000.

The previous prime is 1021100097593. The next prime is 1021100097607. The reversal of 1021100097600 is 67900011201.

It is an interprime number because it is at equal distance from previous prime (1021100097593) and next prime (1021100097607).

It is not an unprimeable number, because it can be changed into a prime (1021100097607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1477713255 + ... + 1477713945.

Almost surely, 2^{1021100097600} is an apocalyptic number.

1021100097600 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 1021100097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091034558080).

1021100097600 is an abundant number, since it is smaller than the sum of its proper divisors (3160969018560).

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

1021100097600 is a wasteful number, since it uses less digits than its factorization.

1021100097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 1021100097600 in words is "one trillion, twenty-one billion, one hundred million, ninety-seven thousand, six hundred".