1210121010000 has 600 divisors, whose sum is σ = 4843517078400. Its totient is φ = 276200064000.

The previous prime is 1210121009989. The next prime is 1210121010013. The reversal of 1210121010000 is 101210121.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 864989301 + ... + 864990699.

It is an arithmetic number, because the mean of its divisors is an integer number (8072528464).

Almost surely, 2^{1210121010000} is an apocalyptic number.

1210121010000 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 1210121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421758539200).

1210121010000 is an abundant number, since it is smaller than the sum of its proper divisors (3633396068400).

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

1210121010000 is a wasteful number, since it uses less digits than its factorization.

1210121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1210121010000 its reverse (101210121), we get a palindrome (1210222220121).

The spelling of 1210121010000 in words is "one trillion, two hundred ten billion, one hundred twenty-one million, ten thousand".