102212212041400 has 24 divisors (see below), whose sum is σ = 237643392996720. Its totient is φ = 40884884816480.

The previous prime is 102212212041383. The next prime is 102212212041431. The reversal of 102212212041400 is 4140212212201.

It is a super-2 number, since 2×102212212041400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255530529904 + ... + 255530530303.

It is an arithmetic number, because the mean of its divisors is an integer number (9901808041530).

Almost surely, 2^{102212212041400} is an apocalyptic number.

102212212041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212212041400 is an abundant number, since it is smaller than the sum of its proper divisors (135431180955320).

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

102212212041400 is a wasteful number, since it uses less digits than its factorization.

102212212041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511061060223 (or 511061060214 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 102212212041400 its reverse (4140212212201), we get a palindrome (106352424253601).

The spelling of 102212212041400 in words is "one hundred two trillion, two hundred twelve billion, two hundred twelve million, forty-one thousand, four hundred".