101240411402130 has 384 divisors, whose sum is σ = 328106028257280. Its totient is φ = 19414081889280.

The previous prime is 101240411402111. The next prime is 101240411402147. The reversal of 101240411402130 is 31204114042101.

It is a happy number.

It is a super-2 number, since 2×101240411402130² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101240411402130.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1753993411 + ... + 1754051129.

It is an arithmetic number, because the mean of its divisors is an integer number (854442781920).

Almost surely, 2^{101240411402130} is an apocalyptic number.

101240411402130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101240411402130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164053014128640).

101240411402130 is an abundant number, since it is smaller than the sum of its proper divisors (226865616855150).

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

101240411402130 is a wasteful number, since it uses less digits than its factorization.

101240411402130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62266 (or 62253 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101240411402130 its reverse (31204114042101), we get a palindrome (132444525444231).

The spelling of 101240411402130 in words is "one hundred one trillion, two hundred forty billion, four hundred eleven million, four hundred two thousand, one hundred thirty".