101341034014000 has 160 divisors (see below), whose sum is σ = 267327152681472. Its totient is φ = 36850191840000.

The previous prime is 101341034013979. The next prime is 101341034014009. The reversal of 101341034014000 is 410430143101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (101341034014009) 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, 1329355885 + ... + 1329432115.

Almost surely, 2^{101341034014000} is an apocalyptic number.

101341034014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101341034014000 is an abundant number, since it is smaller than the sum of its proper divisors (165986118667472).

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

101341034014000 is a wasteful number, since it uses less digits than its factorization.

101341034014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136692 (or 136676 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101341034014000 its reverse (410430143101), we get a palindrome (101751464157101).

The spelling of 101341034014000 in words is "one hundred one trillion, three hundred forty-one billion, thirty-four million, fourteen thousand".