101211111120 has 120 divisors (see below), whose sum is σ = 364979702304. Its totient is φ = 23133965568.

The previous prime is 101211111119. The next prime is 101211111137. The reversal of 101211111120 is 21111112101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101211111096 and 101211111105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4291434 + ... + 4314953.

Almost surely, 2^101211111120 is an apocalyptic number.

101211111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211111120 is an abundant number, since it is smaller than the sum of its proper divisors (263768591184).

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

101211111120 is a wasteful number, since it uses less digits than its factorization.

101211111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8606417 (or 8606404 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101211111120 its reverse (21111112101), we get a palindrome (122322223221).

The spelling of 101211111120 in words is "one hundred one billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".