101002011100122 has 16 divisors (see below), whose sum is σ = 220368024218592. Its totient is φ = 30606670030320.

The previous prime is 101002011100097. The next prime is 101002011100147. The reversal of 101002011100122 is 221001110200101.

It is an interprime number because it is at equal distance from previous prime (101002011100097) and next prime (101002011100147).

It is a junction number, because it is equal to n+sod(n) for n = 101002011100098 and 101002011100107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765166750693 + ... + 765166750824.

It is an arithmetic number, because the mean of its divisors is an integer number (13773001513662).

Almost surely, 2^{101002011100122} is an apocalyptic number.

101002011100122 is an abundant number, since it is smaller than the sum of its proper divisors (119366013118470).

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

101002011100122 is a wasteful number, since it uses less digits than its factorization.

101002011100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530333501533.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101002011100122 its reverse (221001110200101), we get a palindrome (322003121300223).

The spelling of 101002011100122 in words is "one hundred one trillion, two billion, eleven million, one hundred thousand, one hundred twenty-two".