1000101112120 has 32 divisors (see below), whose sum is σ = 2454793639920. Its totient is φ = 363673131520.

The previous prime is 1000101112099. The next prime is 1000101112151. The reversal of 1000101112120 is 212111010001.

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 = 1000101112097 and 1000101112106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1136478097 + ... + 1136478976.

Almost surely, 2^{1000101112120} is an apocalyptic number.

1000101112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000101112120 is an abundant number, since it is smaller than the sum of its proper divisors (1454692527800).

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

1000101112120 is a wasteful number, since it uses less digits than its factorization.

1000101112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272957095 (or 2272957091 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1000101112120 its reverse (212111010001), we get a palindrome (1212212122121).

The spelling of 1000101112120 in words is "one trillion, one hundred one million, one hundred twelve thousand, one hundred twenty".