100013210123220 has 1152 divisors, whose sum is σ = 354609386127360. Its totient is φ = 22670023495680.

The previous prime is 100013210123213. The next prime is 100013210123237. The reversal of 100013210123220 is 22321012310001.

100013210123220 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 321 + 0 + 123 + 220 = 666.

It is a super-3 number, since 3×100013210123220³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100013210123193 and 100013210123202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25533112702 + ... + 25533116618.

It is an arithmetic number, because the mean of its divisors is an integer number (307820647680).

Almost surely, 2^{100013210123220} is an apocalyptic number.

100013210123220 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 100013210123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177304693063680).

100013210123220 is an abundant number, since it is smaller than the sum of its proper divisors (254596176004140).

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

100013210123220 is a wasteful number, since it uses less digits than its factorization.

100013210123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100013210123220 its reverse (22321012310001), we get a palindrome (122334222433221).

The spelling of 100013210123220 in words is "one hundred trillion, thirteen billion, two hundred ten million, one hundred twenty-three thousand, two hundred twenty".