101258411040 has 576 divisors, whose sum is σ = 381603156480. Its totient is φ = 25268060160.

The previous prime is 101258411039. The next prime is 101258411047. The reversal of 101258411040 is 40114852101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101258410995 and 101258411013.

It is not an unprimeable number, because it can be changed into a prime (101258411047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157969120 + ... + 157969760.

It is an arithmetic number, because the mean of its divisors is an integer number (662505480).

Almost surely, 2^101258411040 is an apocalyptic number.

101258411040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101258411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190801578240).

101258411040 is an abundant number, since it is smaller than the sum of its proper divisors (280344745440).

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

101258411040 is a wasteful number, since it uses less digits than its factorization.

101258411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 101258411040 in words is "one hundred one billion, two hundred fifty-eight million, four hundred eleven thousand, forty".