100102120101220 has 24 divisors (see below), whose sum is σ = 215341633975608. Its totient is φ = 39064241990400.

The previous prime is 100102120101127. The next prime is 100102120101253. The reversal of 100102120101220 is 22101021201001.

It can be written as a sum of positive squares in 4 ways, for example, as 7268933641216 + 92833186460004 = 2696096^2 + 9634998^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100102120101220.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61037877291 + ... + 61037878930.

It is an arithmetic number, because the mean of its divisors is an integer number (8972568082317).

Almost surely, 2^{100102120101220} is an apocalyptic number.

100102120101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102120101220 is an abundant number, since it is smaller than the sum of its proper divisors (115239513874388).

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

100102120101220 is a wasteful number, since it uses less digits than its factorization.

100102120101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122075756271 (or 122075756269 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100102120101220 its reverse (22101021201001), we get a palindrome (122203141302221).

The spelling of 100102120101220 in words is "one hundred trillion, one hundred two billion, one hundred twenty million, one hundred one thousand, two hundred twenty".