101010020100 has 144 divisors (see below), whose sum is σ = 319631583936. Its totient is φ = 24425280000.

The previous prime is 101010020099. The next prime is 101010020119. The reversal of 101010020100 is 1020010101.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1271550 + ... + 1348650.

Almost surely, 2^101010020100 is an apocalyptic number.

101010020100 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 101010020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159815791968).

101010020100 is an abundant number, since it is smaller than the sum of its proper divisors (218621563836).

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

101010020100 is a wasteful number, since it uses less digits than its factorization.

101010020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77526 (or 77519 counting only the distinct ones).

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

Adding to 101010020100 its reverse (1020010101), we get a palindrome (102030030201).

Subtracting from 101010020100 its reverse (1020010101), we obtain a palindrome (99990009999).

The spelling of 101010020100 in words is "one hundred one billion, ten million, twenty thousand, one hundred".