101211111020120 has 32 divisors (see below), whose sum is σ = 229979702772720. Its totient is φ = 40083608323200.

The previous prime is 101211111020111. The next prime is 101211111020141. The reversal of 101211111020120 is 21020111112101.

It is a super-3 number, since 3×101211111020120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101211111020095 and 101211111020104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12526123562 + ... + 12526131641.

Almost surely, 2^{101211111020120} is an apocalyptic number.

101211111020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211111020120 is an abundant number, since it is smaller than the sum of its proper divisors (128768591752600).

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

101211111020120 is a wasteful number, since it uses less digits than its factorization.

101211111020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25052255315 (or 25052255311 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101211111020120 its reverse (21020111112101), we get a palindrome (122231222132221).

The spelling of 101211111020120 in words is "one hundred one trillion, two hundred eleven billion, one hundred eleven million, twenty thousand, one hundred twenty".