100002101220120 has 128 divisors (see below), whose sum is σ = 346531345482240. Its totient is φ = 22816878704640.

The previous prime is 100002101220067. The next prime is 100002101220127. The reversal of 100002101220120 is 21022101200001.

100002101220120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100002101220096 and 100002101220105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002101220127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2228188372 + ... + 2228233251.

It is an arithmetic number, because the mean of its divisors is an integer number (2707276136580).

Almost surely, 2^{100002101220120} is an apocalyptic number.

100002101220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002101220120 is an abundant number, since it is smaller than the sum of its proper divisors (246529244262120).

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

100002101220120 is a wasteful number, since it uses less digits than its factorization.

100002101220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456421665 (or 4456421661 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100002101220120 its reverse (21022101200001), we get a palindrome (121024202420121).

The spelling of 100002101220120 in words is "one hundred trillion, two billion, one hundred one million, two hundred twenty thousand, one hundred twenty".