101434401135140 has 24 divisors (see below), whose sum is σ = 215208244886712. Its totient is φ = 40155474263040.

The previous prime is 101434401135131. The next prime is 101434401135149. The reversal of 101434401135140 is 41531104434101.

It is an interprime number because it is at equal distance from previous prime (101434401135131) and next prime (101434401135149).

It can be written as a sum of positive squares in 4 ways, for example, as 807381319936 + 100627019815204 = 898544^2 + 10031302^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101434401135097 and 101434401135106.

It is not an unprimeable number, because it can be changed into a prime (101434401135149) 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, 26142884951 + ... + 26142888830.

It is an arithmetic number, because the mean of its divisors is an integer number (8967010203613).

Almost surely, 2^{101434401135140} is an apocalyptic number.

101434401135140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101434401135140 is an abundant number, since it is smaller than the sum of its proper divisors (113773843751572).

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

101434401135140 is a wasteful number, since it uses less digits than its factorization.

101434401135140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52285773887 (or 52285773885 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 101434401135140 its reverse (41531104434101), we get a palindrome (142965505569241).

The spelling of 101434401135140 in words is "one hundred one trillion, four hundred thirty-four billion, four hundred one million, one hundred thirty-five thousand, one hundred forty".