120100021022100 has 288 divisors, whose sum is σ = 406394961280000. Its totient is φ = 26811139138560.

The previous prime is 120100021022087. The next prime is 120100021022119. The reversal of 120100021022100 is 1220120001021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1575064776 + ... + 1575141024.

Almost surely, 2^{120100021022100} is an apocalyptic number.

120100021022100 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 120100021022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203197480640000).

120100021022100 is an abundant number, since it is smaller than the sum of its proper divisors (286294940257900).

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

120100021022100 is a wasteful number, since it uses less digits than its factorization.

120100021022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93759 (or 93752 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120100021022100 its reverse (1220120001021), we get a palindrome (121320141023121).

The spelling of 120100021022100 in words is "one hundred twenty trillion, one hundred billion, twenty-one million, twenty-two thousand, one hundred".