100210133103120 has 240 divisors, whose sum is σ = 347954389426800. Its totient is φ = 25825966166016.

The previous prime is 100210133103107. The next prime is 100210133103181. The reversal of 100210133103120 is 21301331012001.

100210133103120 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 0 + 1 + 331 + 0 + 312 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49108332816 + 100161024770304 = 221604^2 + 10008048^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100210133103093 and 100210133103102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8653599 + ... + 16592318.

It is an arithmetic number, because the mean of its divisors is an integer number (1449809955945).

Almost surely, 2^{100210133103120} is an apocalyptic number.

100210133103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210133103120 is an abundant number, since it is smaller than the sum of its proper divisors (247744256323680).

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

100210133103120 is a wasteful number, since it uses less digits than its factorization.

100210133103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25246122 (or 25246113 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100210133103120 its reverse (21301331012001), we get a palindrome (121511464115121).

The spelling of 100210133103120 in words is "one hundred trillion, two hundred ten billion, one hundred thirty-three million, one hundred three thousand, one hundred twenty".