101112202221100 has 36 divisors (see below), whose sum is σ = 250758261510064. Its totient is φ = 34667040761280.

The previous prime is 101112202221013. The next prime is 101112202221103. The reversal of 101112202221100 is 1122202211101.

It is not an unprimeable number, because it can be changed into a prime (101112202221103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72223000887 + ... + 72223002286.

Almost surely, 2^{101112202221100} is an apocalyptic number.

101112202221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112202221100 is an abundant number, since it is smaller than the sum of its proper divisors (149646059288964).

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

101112202221100 is a wasteful number, since it uses less digits than its factorization.

101112202221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144446003194 (or 144446003187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101112202221100 its reverse (1122202211101), we get a palindrome (102234404432201).

Subtracting from 101112202221100 its reverse (1122202211101), we obtain a palindrome (99990000009999).

The spelling of 101112202221100 in words is "one hundred one trillion, one hundred twelve billion, two hundred two million, two hundred twenty-one thousand, one hundred".