101010100010040 has 384 divisors, whose sum is σ = 372573976320000. Its totient is φ = 23528079092736.

The previous prime is 101010100009979. The next prime is 101010100010041. The reversal of 101010100010040 is 40010001010101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010100010041) 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, 76079811 + ... + 77396109.

It is an arithmetic number, because the mean of its divisors is an integer number (970244730000).

Almost surely, 2^{101010100010040} is an apocalyptic number.

101010100010040 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 101010100010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186286988160000).

101010100010040 is an abundant number, since it is smaller than the sum of its proper divisors (271563876309960).

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

101010100010040 is a wasteful number, since it uses less digits than its factorization.

101010100010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317211 (or 1317204 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101010100010040 its reverse (40010001010101), we get a palindrome (141020101020141).

The spelling of 101010100010040 in words is "one hundred one trillion, ten billion, one hundred million, ten thousand, forty".