102100121220220 has 96 divisors (see below), whose sum is σ = 226572717168000. Its totient is φ = 38590444569600.

The previous prime is 102100121220199. The next prime is 102100121220269. The reversal of 102100121220220 is 22022121001201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102100121220194 and 102100121220203.

It is a congruent number.

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, 210171 + ... + 14291410.

It is an arithmetic number, because the mean of its divisors is an integer number (2360132470500).

Almost surely, 2^{102100121220220} is an apocalyptic number.

102100121220220 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 102100121220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113286358584000).

102100121220220 is an abundant number, since it is smaller than the sum of its proper divisors (124472595947780).

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

102100121220220 is a wasteful number, since it uses less digits than its factorization.

102100121220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14501879 (or 14501877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102100121220220 its reverse (22022121001201), we get a palindrome (124122242221421).

The spelling of 102100121220220 in words is "one hundred two trillion, one hundred billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty".