100102021355700 has 864 divisors, whose sum is σ = 390386034694656. Its totient is φ = 20891169976320.

The previous prime is 100102021355659. The next prime is 100102021355701. The reversal of 100102021355700 is 7553120201001.

100102021355700 is a `hidden beast` number, since 1 + 0 + 0 + 102 + 0 + 2 + 1 + 3 + 557 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102021355701) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2791215969 + ... + 2791251831.

It is an arithmetic number, because the mean of its divisors is an integer number (451835688304).

Almost surely, 2^{100102021355700} is an apocalyptic number.

100102021355700 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 100102021355700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195193017347328).

100102021355700 is an abundant number, since it is smaller than the sum of its proper divisors (290284013338956).

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

100102021355700 is a wasteful number, since it uses less digits than its factorization.

100102021355700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36273 (or 36263 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 100102021355700 its reverse (7553120201001), we get a palindrome (107655141556701).

The spelling of 100102021355700 in words is "one hundred trillion, one hundred two billion, twenty-one million, three hundred fifty-five thousand, seven hundred".