100201212122120 has 64 divisors (see below), whose sum is σ = 238717165201920. Its totient is φ = 37722412186624.

The previous prime is 100201212122107. The next prime is 100201212122149. The reversal of 100201212122120 is 21221212102001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68406119 + ... + 69855561.

It is an arithmetic number, because the mean of its divisors is an integer number (3729955706280).

Almost surely, 2^{100201212122120} is an apocalyptic number.

100201212122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201212122120 is an abundant number, since it is smaller than the sum of its proper divisors (138515953079800).

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

100201212122120 is a wasteful number, since it uses less digits than its factorization.

100201212122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551134 (or 1551130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100201212122120 its reverse (21221212102001), we get a palindrome (121422424224121).

The spelling of 100201212122120 in words is "one hundred trillion, two hundred one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".