101020012000101 has 12 divisors (see below), whose sum is σ = 152262047072928. Its totient is φ = 64418558376744.

The previous prime is 101020012000031. The next prime is 101020012000129. The reversal of 101020012000101 is 101000210020101.

It is a happy number.

It is not a de Polignac number, because 101020012000101 - 2²⁹ = 101019475129189 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 (101020012000301) 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, 244009690615 + ... + 244009691028.

It is an arithmetic number, because the mean of its divisors is an integer number (12688503922744).

Almost surely, 2^{101020012000101} is an apocalyptic number.

It is an amenable number.

101020012000101 is a deficient number, since it is larger than the sum of its proper divisors (51242035072827).

101020012000101 is a wasteful number, since it uses less digits than its factorization.

101020012000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488019381672 (or 488019381669 counting only the distinct ones).

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

Adding to 101020012000101 its reverse (101000210020101), we get a palindrome (202020222020202).

The spelling of 101020012000101 in words is "one hundred one trillion, twenty billion, twelve million, one hundred one", and thus it is an aban number.