101220110100 has 54 divisors (see below), whose sum is σ = 317268814590. Its totient is φ = 26992029120.

The previous prime is 101220110099. The next prime is 101220110111. The reversal of 101220110100 is 1011022101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1264229136 + 99955880964 = 35556^2 + 316158^2 .

It is a super-2 number, since 2×101220110100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56232495 + ... + 56234294.

Almost surely, 2^101220110100 is an apocalyptic number.

101220110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220110100 is an abundant number, since it is smaller than the sum of its proper divisors (216048704490).

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

101220110100 is a wasteful number, since it uses less digits than its factorization.

101220110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112466809 (or 112466799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101220110100 its reverse (1011022101), we get a palindrome (102231132201).

The spelling of 101220110100 in words is "one hundred one billion, two hundred twenty million, one hundred ten thousand, one hundred".