102121221222020 has 384 divisors, whose sum is σ = 296050963267584. Its totient is φ = 28559070720000.

The previous prime is 102121221221977. The next prime is 102121221222101. The reversal of 102121221222020 is 20222122121201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102121221221983 and 102121221222001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 222212675 + ... + 222671765.

It is an arithmetic number, because the mean of its divisors is an integer number (770966050176).

Almost surely, 2^{102121221222020} is an apocalyptic number.

102121221222020 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 102121221222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148025481633792).

102121221222020 is an abundant number, since it is smaller than the sum of its proper divisors (193929742045564).

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

102121221222020 is a wasteful number, since it uses less digits than its factorization.

102121221222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459443 (or 459441 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102121221222020 its reverse (20222122121201), we get a palindrome (122343343343221).

The spelling of 102121221222020 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty".