102212202122010 has 64 divisors (see below), whose sum is σ = 273186751622400. Its totient is φ = 27194499302976.

The previous prime is 102212202121979. The next prime is 102212202122047. The reversal of 102212202122010 is 10221202212201.

It is a happy number.

102212202122010 is a `hidden beast` number, since 1 + 0 + 221 + 220 + 2 + 1 + 220 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431047429 + ... + 431284488.

It is an arithmetic number, because the mean of its divisors is an integer number (4268542994100).

Almost surely, 2^{102212202122010} is an apocalyptic number.

102212202122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102212202122010 is an abundant number, since it is smaller than the sum of its proper divisors (170974549500390).

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

102212202122010 is a wasteful number, since it uses less digits than its factorization.

102212202122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862332372 (or 862332366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102212202122010 its reverse (10221202212201), we get a palindrome (112433404334211).

The spelling of 102212202122010 in words is "one hundred two trillion, two hundred twelve billion, two hundred two million, one hundred twenty-two thousand, ten".