101002001022 has 96 divisors (see below), whose sum is σ = 237006561792. Its totient is φ = 30901995072.

The previous prime is 101002000973. The next prime is 101002001041. The reversal of 101002001022 is 220100200101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101002000995 and 101002001013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34983663 + ... + 34986549.

It is an arithmetic number, because the mean of its divisors is an integer number (2468818352).

Almost surely, 2^101002001022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002001022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118503280896).

101002001022 is an abundant number, since it is smaller than the sum of its proper divisors (136004560770).

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

101002001022 is a wasteful number, since it uses less digits than its factorization.

101002001022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101002001022 its reverse (220100200101), we get a palindrome (321102201123).

The spelling of 101002001022 in words is "one hundred one billion, two million, one thousand, twenty-two".