101010210100 has 18 divisors (see below), whose sum is σ = 219192156134. Its totient is φ = 40404084000.

The previous prime is 101010210083. The next prime is 101010210107. The reversal of 101010210100 is 1012010101.

It can be written as a sum of positive squares in 3 ways, for example, as 777182884 + 100233027216 = 27878^2 + 316596^2 .

It is a super-2 number, since 2×101010210100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010210107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505050951 + ... + 505051150.

Almost surely, 2^101010210100 is an apocalyptic number.

101010210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010210100 is an abundant number, since it is smaller than the sum of its proper divisors (118181946034).

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

101010210100 is a wasteful number, since it uses less digits than its factorization.

101010210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010102115 (or 1010102108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101010210100 its reverse (1012010101), we get a palindrome (102022220201).

The spelling of 101010210100 in words is "one hundred one billion, ten million, two hundred ten thousand, one hundred".