100102200121120 has 192 divisors, whose sum is σ = 253244444544000. Its totient is φ = 37277741915136.

The previous prime is 100102200121117. The next prime is 100102200121123. The reversal of 100102200121120 is 21121002201001.

It is an interprime number because it is at equal distance from previous prime (100102200121117) and next prime (100102200121123).

It is a self number, because there is not a number n which added to its sum of digits gives 100102200121120.

It is not an unprimeable number, because it can be changed into a prime (100102200121123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531349501 + ... + 531537859.

It is an arithmetic number, because the mean of its divisors is an integer number (1318981482000).

Almost surely, 2^{100102200121120} is an apocalyptic number.

100102200121120 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 100102200121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126622222272000).

100102200121120 is an abundant number, since it is smaller than the sum of its proper divisors (153142244422880).

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

100102200121120 is a wasteful number, since it uses less digits than its factorization.

100102200121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191415 (or 191407 counting only the distinct ones).

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

Adding to 100102200121120 its reverse (21121002201001), we get a palindrome (121223202322121).

The spelling of 100102200121120 in words is "one hundred trillion, one hundred two billion, two hundred million, one hundred twenty-one thousand, one hundred twenty".