101020101 has 64 divisors (see below), whose sum is σ = 173849088. Its totient is φ = 50761728.

The previous prime is 101020097. The next prime is 101020111.

101020101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101020101 - 2² = 101020097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737305 + ... + 737441.

It is an arithmetic number, because the mean of its divisors is an integer number (2716392).

Almost surely, 2^101020101 is an apocalyptic number.

It is an amenable number.

101020101 is a deficient number, since it is larger than the sum of its proper divisors (72828987).

101020101 is a wasteful number, since it uses less digits than its factorization.

101020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101020101 is about 10050.8756334958. The cubic root of 101020101 is about 465.7318433014.

The spelling of 101020101 in words is "one hundred one million, twenty thousand, one hundred one".