101221121101100 has 144 divisors (see below), whose sum is σ = 294914461099776. Its totient is φ = 29122560288000.

The previous prime is 101221121101091. The next prime is 101221121101147. The reversal of 101221121101100 is 1101121122101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505499906 + ... + 505700105.

Almost surely, 2^{101221121101100} is an apocalyptic number.

101221121101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221121101100 is an abundant number, since it is smaller than the sum of its proper divisors (193693339998676).

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

101221121101100 is a wasteful number, since it uses less digits than its factorization.

101221121101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011200056 (or 1011200049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101221121101100 its reverse (1101121122101), we get a palindrome (102322242223201).

The spelling of 101221121101100 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, one hundred".