100001012120200 has 48 divisors (see below), whose sum is σ = 232574359126500. Its totient is φ = 39988016728320.

The previous prime is 100001012120183. The next prime is 100001012120221. The reversal of 100001012120200 is 2021210100001.

It can be written as a sum of positive squares in 6 ways, for example, as 12205199036836 + 87795813083364 = 3493594^2 + 9369942^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76778335 + ... + 78069934.

Almost surely, 2^{100001012120200} is an apocalyptic number.

100001012120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001012120200 is an abundant number, since it is smaller than the sum of its proper divisors (132573347006300).

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

100001012120200 is a wasteful number, since it uses less digits than its factorization.

100001012120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154851514 (or 154851505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100001012120200 its reverse (2021210100001), we get a palindrome (102022222220201).

The spelling of 100001012120200 in words is "one hundred trillion, one billion, twelve million, one hundred twenty thousand, two hundred".