101223311310030 has 192 divisors, whose sum is σ = 304499416112640. Its totient is φ = 21345632614656.

The previous prime is 101223311309987. The next prime is 101223311310047. The reversal of 101223311310030 is 30013113322101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101223311309979 and 101223311310006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34498197 + ... + 37317183.

It is an arithmetic number, because the mean of its divisors is an integer number (1585934458920).

Almost surely, 2^{101223311310030} is an apocalyptic number.

101223311310030 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 101223311310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152249708056320).

101223311310030 is an abundant number, since it is smaller than the sum of its proper divisors (203276104802610).

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

101223311310030 is a wasteful number, since it uses less digits than its factorization.

101223311310030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820903 (or 2820896 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101223311310030 its reverse (30013113322101), we get a palindrome (131236424632131).

The spelling of 101223311310030 in words is "one hundred one trillion, two hundred twenty-three billion, three hundred eleven million, three hundred ten thousand, thirty".