100201020101120 has 40 divisors (see below), whose sum is σ = 240247602107964. Its totient is φ = 40080408039424.

The previous prime is 100201020101107. The next prime is 100201020101137. The reversal of 100201020101120 is 21101020102001.

It can be written as a sum of positive squares in 2 ways, for example, as 99925453897984 + 275566203136 = 9996272^2 + 524944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19570509179 + ... + 19570514298.

Almost surely, 2^{100201020101120} is an apocalyptic number.

100201020101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201020101120 is an abundant number, since it is smaller than the sum of its proper divisors (140046582006844).

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

100201020101120 is an frugal number, since it uses more digits than its factorization.

100201020101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39141023500 (or 39141023484 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100201020101120 its reverse (21101020102001), we get a palindrome (121302040203121).

The spelling of 100201020101120 in words is "one hundred trillion, two hundred one billion, twenty million, one hundred one thousand, one hundred twenty".