100112121002110 has 128 divisors (see below), whose sum is σ = 212049964862208. Its totient is φ = 33323802624000.

The previous prime is 100112121002011. The next prime is 100112121002111. The reversal of 100112121002110 is 11200121211001.

It is a happy number.

It is a super-2 number, since 2×100112121002110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112121002111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115854450 + ... + 116715370.

It is an arithmetic number, because the mean of its divisors is an integer number (1656640350486).

Almost surely, 2^{100112121002110} is an apocalyptic number.

100112121002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112121002110 is an abundant number, since it is smaller than the sum of its proper divisors (111937843860098).

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

100112121002110 is a wasteful number, since it uses less digits than its factorization.

100112121002110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861350.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100112121002110 its reverse (11200121211001), we get a palindrome (111312242213111).

The spelling of 100112121002110 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-one million, two thousand, one hundred ten".