122021012010000 has 200 divisors, whose sum is σ = 395432806421664. Its totient is φ = 32412323840000.

The previous prime is 122021012009999. The next prime is 122021012010013. The reversal of 122021012010000 is 10210120221.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 203166 + ... + 15623165.

Almost surely, 2^{122021012010000} is an apocalyptic number.

122021012010000 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 122021012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197716403210832).

122021012010000 is an abundant number, since it is smaller than the sum of its proper divisors (273411794411664).

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

122021012010000 is a wasteful number, since it uses less digits than its factorization.

122021012010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15826619 (or 15826598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122021012010000 its reverse (10210120221), we get a palindrome (122031222130221).

The spelling of 122021012010000 in words is "one hundred twenty-two trillion, twenty-one billion, twelve million, ten thousand".