100102110120000 has 490 divisors, whose sum is σ = 372160910885478. Its totient is φ = 26693888256000.

The previous prime is 100102110119987. The next prime is 100102110120037. The reversal of 100102110120000 is 21011201001.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 18489243207744 + 81612866912256 = 4299912^2 + 9033984^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 27443572 + ... + 30876428.

Almost surely, 2^{100102110120000} is an apocalyptic number.

100102110120000 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 100102110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186080455442739).

100102110120000 is an abundant number, since it is smaller than the sum of its proper divisors (272058800765478).

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

100102110120000 is an frugal number, since it uses more digits than its factorization.

100102110120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432907 (or 3432867 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102110120000 its reverse (21011201001), we get a palindrome (100123121321001).

The spelling of 100102110120000 in words is "one hundred trillion, one hundred two billion, one hundred ten million, one hundred twenty thousand".