101210042234040 has 256 divisors, whose sum is σ = 324479835187200. Its totient is φ = 25165616357376.

The previous prime is 101210042234027. The next prime is 101210042234053. The reversal of 101210042234040 is 40432240012101.

It is an interprime number because it is at equal distance from previous prime (101210042234027) and next prime (101210042234053).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101210042234040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2216239287 + ... + 2216284953.

It is an arithmetic number, because the mean of its divisors is an integer number (1267499356200).

Almost surely, 2^{101210042234040} is an apocalyptic number.

101210042234040 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 101210042234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162239917593600).

101210042234040 is an abundant number, since it is smaller than the sum of its proper divisors (223269792953160).

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

101210042234040 is a wasteful number, since it uses less digits than its factorization.

101210042234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55774 (or 55770 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101210042234040 its reverse (40432240012101), we get a palindrome (141642282246141).

The spelling of 101210042234040 in words is "one hundred one trillion, two hundred ten billion, forty-two million, two hundred thirty-four thousand, forty".