100201201102120 has 32 divisors (see below), whose sum is σ = 229706527059720. Its totient is φ = 39324244960000.

The previous prime is 100201201102097. The next prime is 100201201102147. The reversal of 100201201102120 is 21201102102001.

It can be written as a sum of positive squares in 4 ways, for example, as 96897524071716 + 3303677030404 = 9843654^2 + 1817602^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100201201102120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23632356631 + ... + 23632360870.

Almost surely, 2^{100201201102120} is an apocalyptic number.

100201201102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201201102120 is an abundant number, since it is smaller than the sum of its proper divisors (129505325957600).

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

100201201102120 is a wasteful number, since it uses less digits than its factorization.

100201201102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47264717565 (or 47264717561 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100201201102120 its reverse (21201102102001), we get a palindrome (121402303204121).

The spelling of 100201201102120 in words is "one hundred trillion, two hundred one billion, two hundred one million, one hundred two thousand, one hundred twenty".