120223013013100 has 72 divisors (see below), whose sum is σ = 269305905068928. Its totient is φ = 46536842150400.

The previous prime is 120223013013073. The next prime is 120223013013127. The reversal of 120223013013100 is 1310310322021.

It is an interprime number because it is at equal distance from previous prime (120223013013073) and next prime (120223013013127).

It is a super-3 number, since 3×120223013013100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137629314 + ... + 138500086.

It is an arithmetic number, because the mean of its divisors is an integer number (3740359792624).

Almost surely, 2^{120223013013100} is an apocalyptic number.

120223013013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120223013013100 is an abundant number, since it is smaller than the sum of its proper divisors (149082892055828).

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

120223013013100 is a wasteful number, since it uses less digits than its factorization.

120223013013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915355 (or 915348 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 120223013013100 its reverse (1310310322021), we get a palindrome (121533323335121).

The spelling of 120223013013100 in words is "one hundred twenty trillion, two hundred twenty-three billion, thirteen million, thirteen thousand, one hundred".