100000102021120 has 96 divisors (see below), whose sum is σ = 274219029957600. Its totient is φ = 34285749239808.

The previous prime is 100000102021093. The next prime is 100000102021129. The reversal of 100000102021120 is 21120201000001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100000102021097 and 100000102021106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000102021129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697473675 + ... + 697617034.

It is an arithmetic number, because the mean of its divisors is an integer number (2856448228725).

Almost surely, 2^{100000102021120} is an apocalyptic number.

100000102021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000102021120 is an abundant number, since it is smaller than the sum of its proper divisors (174218927936480).

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

100000102021120 is an equidigital number, since it uses as much as digits as its factorization.

100000102021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395090743 (or 1395090723 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100000102021120 its reverse (21120201000001), we get a palindrome (121120303021121).

The spelling of 100000102021120 in words is "one hundred trillion, one hundred two million, twenty-one thousand, one hundred twenty".