101024144001140 has 48 divisors (see below), whose sum is σ = 212735255174400. Its totient is φ = 40298339071872.

The previous prime is 101024144001107. The next prime is 101024144001199. The reversal of 101024144001140 is 41100441420101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64635557 + ... + 66180083.

It is an arithmetic number, because the mean of its divisors is an integer number (4431984482800).

Almost surely, 2^{101024144001140} is an apocalyptic number.

101024144001140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101024144001140 is an abundant number, since it is smaller than the sum of its proper divisors (111711111173260).

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

101024144001140 is a wasteful number, since it uses less digits than its factorization.

101024144001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553544 (or 1553542 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 101024144001140 its reverse (41100441420101), we get a palindrome (142124585421241).

The spelling of 101024144001140 in words is "one hundred one trillion, twenty-four billion, one hundred forty-four million, one thousand, one hundred forty".