101400255012 has 96 divisors (see below), whose sum is σ = 274010204160. Its totient is φ = 28586131200.

The previous prime is 101400254999. The next prime is 101400255023. The reversal of 101400255012 is 210552004101.

101400255012 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101400255012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101400255012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3626887 + ... + 3654737.

It is an arithmetic number, because the mean of its divisors is an integer number (2854272960).

Almost surely, 2^101400255012 is an apocalyptic number.

101400255012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101400255012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137005102080).

101400255012 is an abundant number, since it is smaller than the sum of its proper divisors (172609949148).

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

101400255012 is a wasteful number, since it uses less digits than its factorization.

101400255012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28441 (or 28439 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 101400255012 its reverse (210552004101), we get a palindrome (311952259113).

The spelling of 101400255012 in words is "one hundred one billion, four hundred million, two hundred fifty-five thousand, twelve".