101022022020100 has 36 divisors (see below), whose sum is σ = 219220649970868. Its totient is φ = 40408281216000.

The previous prime is 101022022020071. The next prime is 101022022020107. The reversal of 101022022020100 is 1020220220101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1173044957184 + 99848977062916 = 1083072^2 + 9992446^2 .

It is not an unprimeable number, because it can be changed into a prime (101022022020107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1147720 + ... + 14260480.

Almost surely, 2^{101022022020100} is an apocalyptic number.

101022022020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022022020100 is an abundant number, since it is smaller than the sum of its proper divisors (118198627950768).

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

101022022020100 is a wasteful number, since it uses less digits than its factorization.

101022022020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13189816 (or 13189809 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101022022020100 its reverse (1020220220101), we get a palindrome (102042242240201).

The spelling of 101022022020100 in words is "one hundred one trillion, twenty-two billion, twenty-two million, twenty thousand, one hundred".