101221200112122 has 32 divisors (see below), whose sum is σ = 224936338901760. Its totient is φ = 33740349239520.

The previous prime is 101221200112121. The next prime is 101221200112141. The reversal of 101221200112122 is 221211002122101.

101221200112122 is a `hidden beast` number, since 10 + 1 + 221 + 200 + 112 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101221200112095 and 101221200112104.

It is not an unprimeable number, because it can be changed into a prime (101221200112121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56881222 + ... + 58633742.

It is an arithmetic number, because the mean of its divisors is an integer number (7029260590680).

Almost surely, 2^{101221200112122} is an apocalyptic number.

101221200112122 is an abundant number, since it is smaller than the sum of its proper divisors (123715138789638).

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

101221200112122 is a wasteful number, since it uses less digits than its factorization.

101221200112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822115 (or 2822109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101221200112122 its reverse (221211002122101), we get a palindrome (322432202234223).

The spelling of 101221200112122 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred million, one hundred twelve thousand, one hundred twenty-two".