1251120110100 has 72 divisors (see below), whose sum is σ = 4137037171008. Its totient is φ = 285970310400.

The previous prime is 1251120110087. The next prime is 1251120110113. The reversal of 1251120110100 is 10110211521.

It is an interprime number because it is at equal distance from previous prime (1251120110087) and next prime (1251120110113).

It is a super-2 number, since 2×1251120110100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1251120110100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297883641 + ... + 297887840.

Almost surely, 2^{1251120110100} is an apocalyptic number.

1251120110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1251120110100 is an abundant number, since it is smaller than the sum of its proper divisors (2885917060908).

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

1251120110100 is a wasteful number, since it uses less digits than its factorization.

1251120110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595771505 (or 595771498 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 1251120110100 its reverse (10110211521), we get a palindrome (1261230321621).

The spelling of 1251120110100 in words is "one trillion, two hundred fifty-one billion, one hundred twenty million, one hundred ten thousand, one hundred".