101400042513000 has 256 divisors, whose sum is σ = 394432997437440. Its totient is φ = 21070138656000.

The previous prime is 101400042512999. The next prime is 101400042513031. The reversal of 101400042513000 is 315240004101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219249612 + ... + 219711611.

It is an arithmetic number, because the mean of its divisors is an integer number (1540753896240).

Almost surely, 2^{101400042513000} is an apocalyptic number.

101400042513000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101400042513000 is an abundant number, since it is smaller than the sum of its proper divisors (293032954924440).

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

101400042513000 is a wasteful number, since it uses less digits than its factorization.

101400042513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438961265 (or 438961251 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 101400042513000 its reverse (315240004101), we get a palindrome (101715282517101).

The spelling of 101400042513000 in words is "one hundred one trillion, four hundred billion, forty-two million, five hundred thirteen thousand".