11200101212100 has 72 divisors (see below), whose sum is σ = 32406019854208. Its totient is φ = 2986657372800.

The previous prime is 11200101212099. The next prime is 11200101212101. The reversal of 11200101212100 is 121210100211.

It is an interprime number because it is at equal distance from previous prime (11200101212099) and next prime (11200101212101).

It is a super-2 number, since 2×11200101212100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11200101212101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32245557 + ... + 32591043.

Almost surely, 2^{11200101212100} is an apocalyptic number.

11200101212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200101212100 is an abundant number, since it is smaller than the sum of its proper divisors (21205918642108).

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

11200101212100 is a wasteful number, since it uses less digits than its factorization.

11200101212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453565 (or 453558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11200101212100 its reverse (121210100211), we get a palindrome (11321311312311).

The spelling of 11200101212100 in words is "eleven trillion, two hundred billion, one hundred one million, two hundred twelve thousand, one hundred".