100202121231120 has 480 divisors, whose sum is σ = 359535371120640. Its totient is φ = 24921367511040.

The previous prime is 100202121231119. The next prime is 100202121231139. The reversal of 100202121231120 is 21132121202001.

100202121231120 is a `hidden beast` number, since 10 + 0 + 202 + 121 + 2 + 311 + 20 = 666.

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 = 100202121231093 and 100202121231102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1335260800 + ... + 1335335840.

It is an arithmetic number, because the mean of its divisors is an integer number (749032023168).

Almost surely, 2^{100202121231120} is an apocalyptic number.

100202121231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202121231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179767685560320).

100202121231120 is an abundant number, since it is smaller than the sum of its proper divisors (259333249889520).

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

100202121231120 is a wasteful number, since it uses less digits than its factorization.

100202121231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76063 (or 76054 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100202121231120 its reverse (21132121202001), we get a palindrome (121334242433121).

The spelling of 100202121231120 in words is "one hundred trillion, two hundred two billion, one hundred twenty-one million, two hundred thirty-one thousand, one hundred twenty".