100211101122132 has 576 divisors, whose sum is σ = 361347632755200. Its totient is φ = 22571147612160.

The previous prime is 100211101122073. The next prime is 100211101122149. The reversal of 100211101122132 is 231221101112001.

It is a happy number.

100211101122132 is a `hidden beast` number, since 100 + 211 + 101 + 1 + 221 + 32 = 666.

It is a super-2 number, since 2×100211101122132² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37370794 + ... + 39962462.

It is an arithmetic number, because the mean of its divisors is an integer number (627339640200).

Almost surely, 2^{100211101122132} is an apocalyptic number.

100211101122132 is a gapful number since it is divisible by the number (12) 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 100211101122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180673816377600).

100211101122132 is an abundant number, since it is smaller than the sum of its proper divisors (261136531633068).

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

100211101122132 is a wasteful number, since it uses less digits than its factorization.

100211101122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591776 (or 2591771 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 100211101122132 its reverse (231221101112001), we get a palindrome (331432202234133).

The spelling of 100211101122132 in words is "one hundred trillion, two hundred eleven billion, one hundred one million, one hundred twenty-two thousand, one hundred thirty-two".