100212111101112 has 32 divisors (see below), whose sum is σ = 261422898526080. Its totient is φ = 31951687597280.

The previous prime is 100212111101099. The next prime is 100212111101153. The reversal of 100212111101112 is 211101111212001.

It is a super-2 number, since 2×100212111101112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100212111101091 and 100212111101100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90771839214 + ... + 90771840317.

It is an arithmetic number, because the mean of its divisors is an integer number (8169465578940).

Almost surely, 2^{100212111101112} is an apocalyptic number.

100212111101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100212111101112 is an abundant number, since it is smaller than the sum of its proper divisors (161210787424968).

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

100212111101112 is a wasteful number, since it uses less digits than its factorization.

100212111101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181543679563 (or 181543679559 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100212111101112 its reverse (211101111212001), we get a palindrome (311313222313113).

The spelling of 100212111101112 in words is "one hundred trillion, two hundred twelve billion, one hundred eleven million, one hundred one thousand, one hundred twelve".