102120212122100 has 144 divisors (see below), whose sum is σ = 253280464012800. Its totient is φ = 35505663621120.

The previous prime is 102120212122079. The next prime is 102120212122109. The reversal of 102120212122100 is 1221212021201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120212122109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43896620 + ... + 46164419.

It is an arithmetic number, because the mean of its divisors is an integer number (1758892111200).

Almost surely, 2^{102120212122100} is an apocalyptic number.

102120212122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120212122100 is an abundant number, since it is smaller than the sum of its proper divisors (151160251890700).

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

102120212122100 is a wasteful number, since it uses less digits than its factorization.

102120212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90061122 (or 90061115 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102120212122100 its reverse (1221212021201), we get a palindrome (103341424143301).

The spelling of 102120212122100 in words is "one hundred two trillion, one hundred twenty billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".