101002122000101 has 16 divisors (see below), whose sum is σ = 116892872355840. Its totient is φ = 85476854165040.

The previous prime is 101002122000053. The next prime is 101002122000107. The reversal of 101002122000101 is 101000221200101.

It is not a de Polignac number, because 101002122000101 - 2²⁶ = 101002054891237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002122000107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107439440 + ... + 108375446.

It is an arithmetic number, because the mean of its divisors is an integer number (7305804522240).

Almost surely, 2^{101002122000101} is an apocalyptic number.

It is an amenable number.

101002122000101 is a deficient number, since it is larger than the sum of its proper divisors (15890750355739).

101002122000101 is an equidigital number, since it uses as much as digits as its factorization.

101002122000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131224.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101002122000101 its reverse (101000221200101), we get a palindrome (202002343200202).

The spelling of 101002122000101 in words is "one hundred one trillion, two billion, one hundred twenty-two million, one hundred one", and thus it is an aban number.