100101110992820 has 240 divisors, whose sum is σ = 251605903304448. Its totient is φ = 33431121400320.

The previous prime is 100101110992819. The next prime is 100101110992847. The reversal of 100101110992820 is 28299011101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1273787249 + ... + 1273865831.

Almost surely, 2^{100101110992820} is an apocalyptic number.

100101110992820 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 100101110992820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125802951652224).

100101110992820 is an abundant number, since it is smaller than the sum of its proper divisors (151504792311628).

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

100101110992820 is an equidigital number, since it uses as much as digits as its factorization.

100101110992820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79308 (or 79285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 35.

The spelling of 100101110992820 in words is "one hundred trillion, one hundred one billion, one hundred ten million, nine hundred ninety-two thousand, eight hundred twenty".