1010100011400 has 144 divisors (see below), whose sum is σ = 3539741924160. Its totient is φ = 257648688000.

The previous prime is 1010100011369. The next prime is 1010100011411. The reversal of 1010100011400 is 41100010101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12157876 + ... + 12240675.

It is an arithmetic number, because the mean of its divisors is an integer number (24581541140).

Almost surely, 2^{1010100011400} is an apocalyptic number.

1010100011400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010100011400 is an abundant number, since it is smaller than the sum of its proper divisors (2529641912760).

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

1010100011400 is a wasteful number, since it uses less digits than its factorization.

1010100011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24398596 (or 24398584 counting only the distinct ones).

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

Adding to 1010100011400 its reverse (41100010101), we get a palindrome (1051200021501).

It can be divided in two parts, 10101000 and 11400, that added together give a square (10112400 = 3180²).

The spelling of 1010100011400 in words is "one trillion, ten billion, one hundred million, eleven thousand, four hundred".