101210022100 has 72 divisors (see below), whose sum is σ = 239756092128. Its totient is φ = 36778396800.

The previous prime is 101210022071. The next prime is 101210022101. The reversal of 101210022100 is 1220012101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210022101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1611487 + ... + 1673113.

It is an arithmetic number, because the mean of its divisors is an integer number (3329945724).

Almost surely, 2^101210022100 is an apocalyptic number.

101210022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119878046064).

101210022100 is an abundant number, since it is smaller than the sum of its proper divisors (138546070028).

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

101210022100 is a wasteful number, since it uses less digits than its factorization.

101210022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63145 (or 63138 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101210022100 its reverse (1220012101), we get a palindrome (102430034201).

Subtracting from 101210022100 its reverse (1220012101), we obtain a palindrome (99990009999).

The spelling of 101210022100 in words is "one hundred one billion, two hundred ten million, twenty-two thousand, one hundred".