10021101221100 has 36 divisors (see below), whose sum is σ = 28994386200584. Its totient is φ = 2672293658880.

The previous prime is 10021101221069. The next prime is 10021101221111. The reversal of 10021101221100 is 112210112001.

10021101221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10021101221100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16701835069 + ... + 16701835668.

Almost surely, 2^{10021101221100} is an apocalyptic number.

10021101221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021101221100 is an abundant number, since it is smaller than the sum of its proper divisors (18973284979484).

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

10021101221100 is a wasteful number, since it uses less digits than its factorization.

10021101221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33403670754 (or 33403670747 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021101221100 its reverse (112210112001), we get a palindrome (10133311333101).

The spelling of 10021101221100 in words is "ten trillion, twenty-one billion, one hundred one million, two hundred twenty-one thousand, one hundred".