100111010020101 has 6 divisors (see below), whose sum is σ = 144604792251270. Its totient is φ = 66740673346728.

The previous prime is 100111010020097. The next prime is 100111010020127. The reversal of 100111010020101 is 101020010111001.

It can be written as a sum of positive squares in only one way, i.e., 75314105856900 + 24796904163201 = 8678370^2 + 4979649^2 .

It is not a de Polignac number, because 100111010020101 - 2² = 100111010020097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11123445557789 = 100111010020101 / (1 + 0 + 0 + 1 + 1 + 1 + 0 + 1 + 0 + 0 + 2 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111010020601) 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, 5561722778886 + ... + 5561722778903.

It is an arithmetic number, because the mean of its divisors is an integer number (24100798708545).

Almost surely, 2^{100111010020101} is an apocalyptic number.

It is an amenable number.

100111010020101 is a deficient number, since it is larger than the sum of its proper divisors (44493782231169).

100111010020101 is a wasteful number, since it uses less digits than its factorization.

100111010020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123445557795 (or 11123445557792 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111010020101 its reverse (101020010111001), we get a palindrome (201131020131102).

The spelling of 100111010020101 in words is "one hundred trillion, one hundred eleven billion, ten million, twenty thousand, one hundred one".