120021010020100 has 288 divisors, whose sum is σ = 300779855857152. Its totient is φ = 40720243200000.

The previous prime is 120021010020049. The next prime is 120021010020217. The reversal of 120021010020100 is 1020010120021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44271857745 + ... + 44271860455.

It is an arithmetic number, because the mean of its divisors is an integer number (1044374499504).

Almost surely, 2^{120021010020100} is an apocalyptic number.

120021010020100 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 120021010020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150389927928576).

120021010020100 is an abundant number, since it is smaller than the sum of its proper divisors (180758845837052).

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

120021010020100 is a wasteful number, since it uses less digits than its factorization.

120021010020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120021010020100 its reverse (1020010120021), we get a palindrome (121041020140121).

The spelling of 120021010020100 in words is "one hundred twenty trillion, twenty-one billion, ten million, twenty thousand, one hundred".