1000101102120 has 64 divisors (see below), whose sum is σ = 3333670344000. Its totient is φ = 266693626944.

The previous prime is 1000101102113. The next prime is 1000101102139. The reversal of 1000101102120 is 212011010001.

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 15 ways as a sum of consecutive naturals, for example, 463008690 + ... + 463010849.

It is an arithmetic number, because the mean of its divisors is an integer number (52088599125).

Almost surely, 2^{1000101102120} is an apocalyptic number.

1000101102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000101102120 is an abundant number, since it is smaller than the sum of its proper divisors (2333569241880).

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

1000101102120 is a wasteful number, since it uses less digits than its factorization.

1000101102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926019559 (or 926019549 counting only the distinct ones).

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

Adding to 1000101102120 its reverse (212011010001), we get a palindrome (1212112112121).

The spelling of 1000101102120 in words is "one trillion, one hundred one million, one hundred two thousand, one hundred twenty".