121112100102 has 96 divisors (see below), whose sum is σ = 294898828032. Its totient is φ = 32475411648.

The previous prime is 121112100091. The next prime is 121112100113. The reversal of 121112100102 is 201001211121.

It is an interprime number because it is at equal distance from previous prime (121112100091) and next prime (121112100113).

It is a super-2 number, since 2×121112100102² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1585008 + ... + 1659660.

It is an arithmetic number, because the mean of its divisors is an integer number (3071862792).

Almost surely, 2^121112100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121112100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147449414016).

121112100102 is an abundant number, since it is smaller than the sum of its proper divisors (173786727930).

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

121112100102 is a wasteful number, since it uses less digits than its factorization.

121112100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74810 (or 74791 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121112100102 its reverse (201001211121), we get a palindrome (322113311223).

The spelling of 121112100102 in words is "one hundred twenty-one billion, one hundred twelve million, one hundred thousand, one hundred two".