101002122 has 48 divisors (see below), whose sum is σ = 236389608. Its totient is φ = 30983040.

The previous prime is 101002103. The next prime is 101002127. The reversal of 101002122 is 221200101.

It can be written as a sum of positive squares in 4 ways, for example, as 71419401 + 29582721 = 8451^2 + 5439^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101002127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152472 + ... + 153132.

Almost surely, 2^101002122 is an apocalyptic number.

101002122 is an abundant number, since it is smaller than the sum of its proper divisors (135387486).

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

101002122 is a wasteful number, since it uses less digits than its factorization.

101002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1332 counting only the distinct ones).

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

The square root of 101002122 is about 10049.9811940123. The cubic root of 101002122 is about 465.7042122012.

Adding to 101002122 its reverse (221200101), we get a palindrome (322202223).

It can be divided in two parts, 101002 and 122, that added together give a square (101124 = 318²).

The spelling of 101002122 in words is "one hundred one million, two thousand, one hundred twenty-two".