101022210201100 has 72 divisors (see below), whose sum is σ = 221234192102000. Its totient is φ = 40037288083200.

The previous prime is 101022210201079. The next prime is 101022210201137. The reversal of 101022210201100 is 1102012220101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768918415 + ... + 769049785.

Almost surely, 2^{101022210201100} is an apocalyptic number.

101022210201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022210201100 is an abundant number, since it is smaller than the sum of its proper divisors (120211981900900).

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

101022210201100 is a wasteful number, since it uses less digits than its factorization.

101022210201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202043 (or 202036 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101022210201100 its reverse (1102012220101), we get a palindrome (102124222421201).

The spelling of 101022210201100 in words is "one hundred one trillion, twenty-two billion, two hundred ten million, two hundred one thousand, one hundred".