102022100 has 36 divisors (see below), whose sum is σ = 234414684. Its totient is φ = 38407680.

The previous prime is 102022069. The next prime is 102022111. The reversal of 102022100 is 1220201.

It can be written as a sum of positive squares in 6 ways, for example, as 2062096 + 99960004 = 1436^2 + 9998^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28307 + ... + 31706.

It is an arithmetic number, because the mean of its divisors is an integer number (6511519).

Almost surely, 2^102022100 is an apocalyptic number.

102022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022100 is an abundant number, since it is smaller than the sum of its proper divisors (132392584).

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

102022100 is a wasteful number, since it uses less digits than its factorization.

102022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60044 (or 60037 counting only the distinct ones).

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

The square root of 102022100 is about 10100.5989921390. The cubic root of 102022100 is about 467.2666149951.

Adding to 102022100 its reverse (1220201), we get a palindrome (103242301).

The spelling of 102022100 in words is "one hundred two million, twenty-two thousand, one hundred".