101101121222220 has 288 divisors, whose sum is σ = 362587068095616. Its totient is φ = 22321976832000.

The previous prime is 101101121222203. The next prime is 101101121222249. The reversal of 101101121222220 is 22222121101101.

101101121222220 is a `hidden beast` number, since 1 + 0 + 1 + 101 + 121 + 222 + 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 = 101101121222193 and 101101121222202.

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, 4470699 + ... + 14906018.

It is an arithmetic number, because the mean of its divisors is an integer number (1258982875332).

Almost surely, 2^{101101121222220} is an apocalyptic number.

101101121222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101121222220 is an abundant number, since it is smaller than the sum of its proper divisors (261485946873396).

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

101101121222220 is a wasteful number, since it uses less digits than its factorization.

101101121222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19376881 (or 19376876 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101101121222220 its reverse (22222121101101), we get a palindrome (123323242323321).

The spelling of 101101121222220 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty".