101201100100 has 36 divisors (see below), whose sum is σ = 220819721668. Its totient is φ = 40256784000.

The previous prime is 101201100089. The next prime is 101201100101. The reversal of 101201100100 is 1001102101.

It can be written as a sum of positive squares in 6 ways, for example, as 2093245504 + 99107854596 = 45752^2 + 314814^2 .

It is a super-2 number, since 2×101201100100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101201100101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2777511 + ... + 2813710.

Almost surely, 2^101201100100 is an apocalyptic number.

101201100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201100100 is an abundant number, since it is smaller than the sum of its proper divisors (119618621568).

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

101201100100 is a wasteful number, since it uses less digits than its factorization.

101201100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591416 (or 5591409 counting only the distinct ones).

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

Adding to 101201100100 its reverse (1001102101), we get a palindrome (102202202201).

The spelling of 101201100100 in words is "one hundred one billion, two hundred one million, one hundred thousand, one hundred".