101122002100 has 72 divisors (see below), whose sum is σ = 251059431168. Its totient is φ = 34632124800.

The previous prime is 101122002031. The next prime is 101122002127. The reversal of 101122002100 is 1200221101.

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

It is a congruent number.

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, 558414 + ... + 716986.

It is an arithmetic number, because the mean of its divisors is an integer number (3486936544).

Almost surely, 2^101122002100 is an apocalyptic number.

101122002100 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 101122002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125529715584).

101122002100 is an abundant number, since it is smaller than the sum of its proper divisors (149937429068).

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

101122002100 is a wasteful number, since it uses less digits than its factorization.

101122002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159505 (or 159498 counting only the distinct ones).

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

Adding to 101122002100 its reverse (1200221101), we get a palindrome (102322223201).

The spelling of 101122002100 in words is "one hundred one billion, one hundred twenty-two million, two thousand, one hundred".