121122100101002 has 192 divisors, whose sum is σ = 262970128302336. Its totient is φ = 40987052144640.

The previous prime is 121122100100959. The next prime is 121122100101031. The reversal of 121122100101002 is 200101001221121.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 916435508 + ... + 916567664.

It is an arithmetic number, because the mean of its divisors is an integer number (1369636084908).

Almost surely, 2^{121122100101002} is an apocalyptic number.

121122100101002 is an abundant number, since it is smaller than the sum of its proper divisors (141848028201334).

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

121122100101002 is a wasteful number, since it uses less digits than its factorization.

121122100101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136061 (or 136054 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121122100101002 its reverse (200101001221121), we get a palindrome (321223101322123).

The spelling of 121122100101002 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred million, one hundred one thousand, two".