101101012221120 has 112 divisors (see below), whose sum is σ = 329671273750368. Its totient is φ = 26231613972480.

The previous prime is 101101012221067. The next prime is 101101012221127. The reversal of 101101012221120 is 21122210101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101101012221120.

It is not an unprimeable number, because it can be changed into a prime (101101012221127) 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, 1423120621 + ... + 1423191660.

Almost surely, 2^{101101012221120} is an apocalyptic number.

101101012221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101012221120 is an abundant number, since it is smaller than the sum of its proper divisors (228570261529248).

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

101101012221120 is a wasteful number, since it uses less digits than its factorization.

101101012221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846312338 (or 2846312328 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101101012221120 its reverse (21122210101101), we get a palindrome (122223222322221).

The spelling of 101101012221120 in words is "one hundred one trillion, one hundred one billion, twelve million, two hundred twenty-one thousand, one hundred twenty".