121002110101110 has 768 divisors, whose sum is σ = 356515367120640. Its totient is φ = 26180868833280.

The previous prime is 121002110101091. The next prime is 121002110101129. The reversal of 121002110101110 is 11101011200121.

It is an interprime number because it is at equal distance from previous prime (121002110101091) and next prime (121002110101129).

It is a super-2 number, since 2×121002110101110² (a number of 29 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 383 ways as a sum of consecutive naturals, for example, 98455743976 + ... + 98455745204.

It is an arithmetic number, because the mean of its divisors is an integer number (464212717605).

Almost surely, 2^{121002110101110} is an apocalyptic number.

121002110101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002110101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178257683560320).

121002110101110 is an abundant number, since it is smaller than the sum of its proper divisors (235513257019530).

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

121002110101110 is a wasteful number, since it uses less digits than its factorization.

121002110101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1674 counting only the distinct ones).

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

Adding to 121002110101110 its reverse (11101011200121), we get a palindrome (132103121301231).

The spelling of 121002110101110 in words is "one hundred twenty-one trillion, two billion, one hundred ten million, one hundred one thousand, one hundred ten".