1002101120100 has 72 divisors (see below), whose sum is σ = 3221569535520. Its totient is φ = 267226964640.

The previous prime is 1002101120071. The next prime is 1002101120113. The reversal of 1002101120100 is 10211012001.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185571582 + ... + 185576981.

Almost surely, 2^{1002101120100} is an apocalyptic number.

1002101120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002101120100 is an abundant number, since it is smaller than the sum of its proper divisors (2219468415420).

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

1002101120100 is a wasteful number, since it uses less digits than its factorization.

1002101120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371148586 (or 371148573 counting only the distinct ones).

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

Adding to 1002101120100 its reverse (10211012001), we get a palindrome (1012312132101).

The spelling of 1002101120100 in words is "one trillion, two billion, one hundred one million, one hundred twenty thousand, one hundred".