101000202310100 has 72 divisors (see below), whose sum is σ = 226765450561440. Its totient is φ = 39000538523520.

The previous prime is 101000202309997. The next prime is 101000202310103. The reversal of 101000202310100 is 1013202000101.

It is a super-2 number, since 2×101000202310100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000202310103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14724047 + ... + 20464553.

Almost surely, 2^{101000202310100} is an apocalyptic number.

101000202310100 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 101000202310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113382725280720).

101000202310100 is an abundant number, since it is smaller than the sum of its proper divisors (125765248251340).

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

101000202310100 is a wasteful number, since it uses less digits than its factorization.

101000202310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746617 (or 5746610 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101000202310100 its reverse (1013202000101), we get a palindrome (102013404310201).

The spelling of 101000202310100 in words is "one hundred one trillion, two hundred two million, three hundred ten thousand, one hundred".