920161223100 has 1296 divisors, whose sum is σ = 3699979186176. Its totient is φ = 193995648000.

The previous prime is 920161223087. The next prime is 920161223147. The reversal of 920161223100 is 1322161029.

920161223100 is a `hidden beast` number, since 9 + 20 + 1 + 612 + 23 + 1 + 0 + 0 = 666.

920161223100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×920161223100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3274594960 + ... + 3274595240.

Almost surely, 2^920161223100 is an apocalyptic number.

920161223100 is a gapful number since it is divisible by the number (90) 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 920161223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849989593088).

920161223100 is an abundant number, since it is smaller than the sum of its proper divisors (2779817963076).

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

920161223100 is a wasteful number, since it uses less digits than its factorization.

920161223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 920161223100 its reverse (1322161029), we get a palindrome (921483384129).

The spelling of 920161223100 in words is "nine hundred twenty billion, one hundred sixty-one million, two hundred twenty-three thousand, one hundred".