101100121212220 has 96 divisors (see below), whose sum is σ = 242457588104256. Its totient is φ = 35080282828800.

The previous prime is 101100121212163. The next prime is 101100121212239. The reversal of 101100121212220 is 22212121001101.

It is a super-3 number, since 3×101100121212220³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100121212194 and 101100121212203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14380446 + ... + 20223685.

It is an arithmetic number, because the mean of its divisors is an integer number (2525599876086).

Almost surely, 2^{101100121212220} is an apocalyptic number.

101100121212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100121212220 is an abundant number, since it is smaller than the sum of its proper divisors (141357466892036).

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

101100121212220 is a wasteful number, since it uses less digits than its factorization.

101100121212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34604831 (or 34604829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101100121212220 its reverse (22212121001101), we get a palindrome (123312242213321).

The spelling of 101100121212220 in words is "one hundred one trillion, one hundred billion, one hundred twenty-one million, two hundred twelve thousand, two hundred twenty".