100212131110 has 192 divisors, whose sum is σ = 236202462720. Its totient is φ = 29889699840.

The previous prime is 100212131099. The next prime is 100212131119. The reversal of 100212131110 is 11131212001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212131119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47425414 + ... + 47427526.

It is an arithmetic number, because the mean of its divisors is an integer number (1230221160).

Almost surely, 2^100212131110 is an apocalyptic number.

100212131110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100212131110 is an abundant number, since it is smaller than the sum of its proper divisors (135990331610).

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

100212131110 is a wasteful number, since it uses less digits than its factorization.

100212131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100212131110 its reverse (11131212001), we get a palindrome (111343343111).

The spelling of 100212131110 in words is "one hundred billion, two hundred twelve million, one hundred thirty-one thousand, one hundred ten".