121010213310000 has 600 divisors, whose sum is σ = 454547441945520. Its totient is φ = 27651391488000.

The previous prime is 121010213309957. The next prime is 121010213310013. The reversal of 121010213310000 is 13312010121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×121010213310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6069620032 + ... + 6069639968.

Almost surely, 2^{121010213310000} is an apocalyptic number.

121010213310000 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 121010213310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227273720972760).

121010213310000 is an abundant number, since it is smaller than the sum of its proper divisors (333537228635520).

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

121010213310000 is a wasteful number, since it uses less digits than its factorization.

121010213310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24111 (or 24083 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 121010213310000 its reverse (13312010121), we get a palindrome (121023525320121).

The spelling of 121010213310000 in words is "one hundred twenty-one trillion, ten billion, two hundred thirteen million, three hundred ten thousand".