121111103100 has 288 divisors, whose sum is σ = 382774389760. Its totient is φ = 29388303360.

The previous prime is 121111103053. The next prime is 121111103119. The reversal of 121111103100 is 1301111121.

It is a super-2 number, since 2×121111103100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 85108989 + ... + 85110411.

Almost surely, 2^121111103100 is an apocalyptic number.

121111103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121111103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191387194880).

121111103100 is an abundant number, since it is smaller than the sum of its proper divisors (261663286660).

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

121111103100 is a wasteful number, since it uses less digits than its factorization.

121111103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 121111103100 its reverse (1301111121), we get a palindrome (122412214221).

The spelling of 121111103100 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred three thousand, one hundred".