100101002100 has 144 divisors (see below), whose sum is σ = 316089768960. Its totient is φ = 24256572800.

The previous prime is 100101002077. The next prime is 100101002119. The reversal of 100101002100 is 1200101001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10168981 + ... + 10178819.

It is an arithmetic number, because the mean of its divisors is an integer number (2195067840).

Almost surely, 2^100101002100 is an apocalyptic number.

100101002100 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 100101002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158044884480).

100101002100 is an abundant number, since it is smaller than the sum of its proper divisors (215988766860).

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

100101002100 is a wasteful number, since it uses less digits than its factorization.

100101002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12950 (or 12943 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100101002100 its reverse (1200101001), we get a palindrome (101301103101).

The spelling of 100101002100 in words is "one hundred billion, one hundred one million, two thousand, one hundred".