10141122200220 has 144 divisors (see below), whose sum is σ = 33624614080512. Its totient is φ = 2453566043520.

The previous prime is 10141122200203. The next prime is 10141122200233. The reversal of 10141122200220 is 2200222114101.

10141122200220 is a `hidden beast` number, since 10 + 1 + 411 + 2 + 2 + 20 + 0 + 220 = 666.

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 = 10141122200193 and 10141122200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4095292 + ... + 6087171.

It is an arithmetic number, because the mean of its divisors is an integer number (233504264448).

Almost surely, 2^{10141122200220} is an apocalyptic number.

10141122200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141122200220 is an abundant number, since it is smaller than the sum of its proper divisors (23483491880292).

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

10141122200220 is a wasteful number, since it uses less digits than its factorization.

10141122200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10182992 (or 10182987 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10141122200220 its reverse (2200222114101), we get a palindrome (12341344314321).

The spelling of 10141122200220 in words is "ten trillion, one hundred forty-one billion, one hundred twenty-two million, two hundred thousand, two hundred twenty".