1014100020120 has 128 divisors (see below), whose sum is σ = 3514100682240. Its totient is φ = 231381104640.

The previous prime is 1014100020097. The next prime is 1014100020121. The reversal of 1014100020120 is 210200014101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1014100020096 and 1014100020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014100020121) 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, 22573372 + ... + 22618251.

It is an arithmetic number, because the mean of its divisors is an integer number (27453911580).

Almost surely, 2^{1014100020120} is an apocalyptic number.

1014100020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014100020120 is an abundant number, since it is smaller than the sum of its proper divisors (2500000662120).

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

1014100020120 is a wasteful number, since it uses less digits than its factorization.

1014100020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45191665 (or 45191661 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1014100020120 its reverse (210200014101), we get a palindrome (1224300034221).

The spelling of 1014100020120 in words is "one trillion, fourteen billion, one hundred million, twenty thousand, one hundred twenty".