120013100100 has 216 divisors, whose sum is σ = 392114847488. Its totient is φ = 30673209600.

The previous prime is 120013100089. The next prime is 120013100101. The reversal of 120013100100 is 1001310021.

It is a super-2 number, since 2×120013100100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120013100101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2204205 + ... + 2257995.

Almost surely, 2^120013100100 is an apocalyptic number.

120013100100 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 120013100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196057423744).

120013100100 is an abundant number, since it is smaller than the sum of its proper divisors (272101747388).

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

120013100100 is a wasteful number, since it uses less digits than its factorization.

120013100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53915 (or 53905 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 120013100100 its reverse (1001310021), we get a palindrome (121014410121).

The spelling of 120013100100 in words is "one hundred twenty billion, thirteen million, one hundred thousand, one hundred".