100211021100 has 180 divisors, whose sum is σ = 328760536104. Its totient is φ = 26400798720.

The previous prime is 100211021087. The next prime is 100211021117. The reversal of 100211021100 is 1120112001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 597772 + ... + 746828.

Almost surely, 2^100211021100 is an apocalyptic number.

100211021100 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 100211021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164380268052).

100211021100 is an abundant number, since it is smaller than the sum of its proper divisors (228549515004).

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

100211021100 is a wasteful number, since it uses less digits than its factorization.

100211021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149166 (or 149150 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100211021100 its reverse (1120112001), we get a palindrome (101331133101).

Subtracting from 100211021100 its reverse (1120112001), we obtain a palindrome (99090909099).

The spelling of 100211021100 in words is "one hundred billion, two hundred eleven million, twenty-one thousand, one hundred".