102101022 has 48 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 31825872.

The previous prime is 102100991. The next prime is 102101033. The reversal of 102101022 is 220101201.

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 = 102100995 and 102101013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25129 + ... + 28907.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^102101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

102101022 is an abundant number, since it is smaller than the sum of its proper divisors (133770978).

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

102101022 is a wasteful number, since it uses less digits than its factorization.

102101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3882 counting only the distinct ones).

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

The square root of 102101022 is about 10104.5050348842. The cubic root of 102101022 is about 467.3870729176.

Adding to 102101022 its reverse (220101201), we get a palindrome (322202223).

It can be divided in two parts, 102 and 101022, that added together give a square (101124 = 318²).

The spelling of 102101022 in words is "one hundred two million, one hundred one thousand, twenty-two".