121012010113000 has 64 divisors (see below), whose sum is σ = 283213577883600. Its totient is φ = 48397030675200.

The previous prime is 121012010112991. The next prime is 121012010113009. The reversal of 121012010113000 is 311010210121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121012010112991) and next prime (121012010113009).

It can be written as a sum of positive squares in 8 ways, for example, as 626304463236 + 120385705649764 = 791394^2 + 10972042^2 .

It is not an unprimeable number, because it can be changed into a prime (121012010113009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3484599 + ... + 15942598.

Almost surely, 2^{121012010113000} is an apocalyptic number.

121012010113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121012010113000 is an abundant number, since it is smaller than the sum of its proper divisors (162201567770600).

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

121012010113000 is a wasteful number, since it uses less digits than its factorization.

121012010113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19433447 (or 19433433 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 121012010113000 its reverse (311010210121), we get a palindrome (121323020323121).

The spelling of 121012010113000 in words is "one hundred twenty-one trillion, twelve billion, ten million, one hundred thirteen thousand".