101002210000101 has 48 divisors (see below), whose sum is σ = 160278761111040. Its totient is φ = 61005486247200.

The previous prime is 101002210000051. The next prime is 101002210000187. The reversal of 101002210000101 is 101000012200101.

It is a happy number.

It is not a de Polignac number, because 101002210000101 - 2⁷ = 101002209999973 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 (101002210008101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17748426 + ... + 22737876.

It is an arithmetic number, because the mean of its divisors is an integer number (3339140856480).

Almost surely, 2^{101002210000101} is an apocalyptic number.

It is an amenable number.

101002210000101 is a deficient number, since it is larger than the sum of its proper divisors (59276551110939).

101002210000101 is a wasteful number, since it uses less digits than its factorization.

101002210000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994646 (or 4994643 counting only the distinct ones).

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

Adding to 101002210000101 its reverse (101000012200101), we get a palindrome (202002222200202).

The spelling of 101002210000101 in words is "one hundred one trillion, two billion, two hundred ten million, one hundred one", and thus it is an aban number.