100121202121120 has 24 divisors (see below), whose sum is σ = 236536340011524. Its totient is φ = 40048480848384.

The previous prime is 100121202121081. The next prime is 100121202121123. The reversal of 100121202121120 is 21121202121001.

It can be written as a sum of positive squares in 2 ways, for example, as 100104107081616 + 17095039504 = 10005204^2 + 130748^2 .

It is a super-2 number, since 2×100121202121120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100121202121094 and 100121202121103.

It is not an unprimeable number, because it can be changed into a prime (100121202121123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312878756469 + ... + 312878756788.

Almost surely, 2^{100121202121120} is an apocalyptic number.

100121202121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121202121120 is an abundant number, since it is smaller than the sum of its proper divisors (136415137890404).

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

100121202121120 is an equidigital number, since it uses as much as digits as its factorization.

100121202121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625757513272 (or 625757513264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100121202121120 its reverse (21121202121001), we get a palindrome (121242404242121).

The spelling of 100121202121120 in words is "one hundred trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".