102121122101220 has 144 divisors (see below), whose sum is σ = 318820746299328. Its totient is φ = 26439553094400.

The previous prime is 102121122101213. The next prime is 102121122101237. The reversal of 102121122101220 is 22101221121201.

102121122101220 is a `hidden beast` number, since 1 + 0 + 21 + 211 + 2 + 210 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102121122101193 and 102121122101202.

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, 13306806 + ... + 19527245.

It is an arithmetic number, because the mean of its divisors is an integer number (2214032960412).

Almost surely, 2^{102121122101220} is an apocalyptic number.

102121122101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121122101220 is an abundant number, since it is smaller than the sum of its proper divisors (216699624198108).

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

102121122101220 is a wasteful number, since it uses less digits than its factorization.

102121122101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32834570 (or 32834565 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102121122101220 its reverse (22101221121201), we get a palindrome (124222343222421).

The spelling of 102121122101220 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty".