102211022100 has 144 divisors (see below), whose sum is σ = 322745342976. Its totient is φ = 24768432000.

The previous prime is 102211022083. The next prime is 102211022117. The reversal of 102211022100 is 1220112201.

It is an interprime number because it is at equal distance from previous prime (102211022083) and next prime (102211022117).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 11238555 + ... + 11247645.

It is an arithmetic number, because the mean of its divisors is an integer number (2241287104).

Almost surely, 2^102211022100 is an apocalyptic number.

102211022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161372671488).

102211022100 is an abundant number, since it is smaller than the sum of its proper divisors (220534320876).

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

102211022100 is a wasteful number, since it uses less digits than its factorization.

102211022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12526 (or 12519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102211022100 its reverse (1220112201), we get a palindrome (103431134301).

It can be divided in two parts, 10221 and 1022100, that multiplied together give a square (10446884100 = 102210²).

The spelling of 102211022100 in words is "one hundred two billion, two hundred eleven million, twenty-two thousand, one hundred".