20101012101 has 12 divisors (see below), whose sum is σ = 29086929612. Its totient is φ = 13376612736.

The previous prime is 20101012097. The next prime is 20101012111. The reversal of 20101012101 is 10121010102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12291048225 + 7809963876 = 110865^2 + 88374^2 .

It is not a de Polignac number, because 20101012101 - 2² = 20101012097 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101012111) 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, 1999876 + ... + 2009901.

It is an arithmetic number, because the mean of its divisors is an integer number (2423910801).

Almost surely, 2^20101012101 is an apocalyptic number.

It is an amenable number.

20101012101 is a deficient number, since it is larger than the sum of its proper divisors (8985917511).

20101012101 is a wasteful number, since it uses less digits than its factorization.

20101012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010340 (or 4010337 counting only the distinct ones).

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

Adding to 20101012101 its reverse (10121010102), we get a palindrome (30222022203).

The spelling of 20101012101 in words is "twenty billion, one hundred one million, twelve thousand, one hundred one".