101022102100014 has 32 divisors (see below), whose sum is σ = 212687517744000. Its totient is φ = 31900305243744.

The previous prime is 101022102100013. The next prime is 101022102100039. The reversal of 101022102100014 is 410001201220101.

It is a super-2 number, since 2×101022102100014² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101022102099966 and 101022102100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022102100013) 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, 17010249 + ... + 22167380.

It is an arithmetic number, because the mean of its divisors is an integer number (6646484929500).

Almost surely, 2^{101022102100014} is an apocalyptic number.

101022102100014 is an abundant number, since it is smaller than the sum of its proper divisors (111665415643986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101022102100014 is a wasteful number, since it uses less digits than its factorization.

101022102100014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39200272.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101022102100014 its reverse (410001201220101), we get a palindrome (511023303320115).

The spelling of 101022102100014 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred thousand, fourteen".