101041234310000 has 200 divisors, whose sum is σ = 245480742579600. Its totient is φ = 40276337920000.

The previous prime is 101041234309997. The next prime is 101041234310011. The reversal of 101041234310000 is 13432140101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×101041234310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3433375286 + ... + 3433404714.

It is an arithmetic number, because the mean of its divisors is an integer number (1227403712898).

Almost surely, 2^{101041234310000} is an apocalyptic number.

101041234310000 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 101041234310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122740371289800).

101041234310000 is an abundant number, since it is smaller than the sum of its proper divisors (144439508269600).

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

101041234310000 is an equidigital number, since it uses as much as digits as its factorization.

101041234310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30637 (or 30616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101041234310000 its reverse (13432140101), we get a palindrome (101054666450101).

The spelling of 101041234310000 in words is "one hundred one trillion, forty-one billion, two hundred thirty-four million, three hundred ten thousand".