101242405251440 has 40 divisors (see below), whose sum is σ = 235729241531088. Its totient is φ = 40438355765760.

The previous prime is 101242405251437. The next prime is 101242405251443. The reversal of 101242405251440 is 44152504242101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101242405251437) and next prime (101242405251443).

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 101242405251440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101242405251443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 915668357 + ... + 915778916.

Almost surely, 2^{101242405251440} is an apocalyptic number.

101242405251440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101242405251440 is an abundant number, since it is smaller than the sum of its proper divisors (134486836279648).

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

101242405251440 is a wasteful number, since it uses less digits than its factorization.

101242405251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831447977 (or 1831447971 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 101242405251440 its reverse (44152504242101), we get a palindrome (145394909493541).

The spelling of 101242405251440 in words is "one hundred one trillion, two hundred forty-two billion, four hundred five million, two hundred fifty-one thousand, four hundred forty".