100211022021200 has 60 divisors (see below), whose sum is σ = 245299564993788. Its totient is φ = 39328099200000.

The previous prime is 100211022021193. The next prime is 100211022021221. The reversal of 100211022021200 is 2120220112001.

It can be written as a sum of positive squares in 6 ways, for example, as 6995009356864 + 93216012664336 = 2644808^2 + 9654844^2 .

It is a congruent number.

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, 2363446301 + ... + 2363488700.

Almost surely, 2^{100211022021200} is an apocalyptic number.

100211022021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211022021200 is an abundant number, since it is smaller than the sum of its proper divisors (145088542972588).

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

100211022021200 is a wasteful number, since it uses less digits than its factorization.

100211022021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726935072 (or 4726935061 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100211022021200 its reverse (2120220112001), we get a palindrome (102331242133201).

The spelling of 100211022021200 in words is "one hundred trillion, two hundred eleven billion, twenty-two million, twenty-one thousand, two hundred".