122010002110000 has 200 divisors, whose sum is σ = 303720149291328. Its totient is φ = 47437920000000.

The previous prime is 122010002109991. The next prime is 122010002110021. The reversal of 122010002110000 is 11200010221.

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

It is a super-2 number, since 2×122010002110000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 110560950 + ... + 111659050.

Almost surely, 2^{122010002110000} is an apocalyptic number.

122010002110000 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 122010002110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151860074645664).

122010002110000 is an abundant number, since it is smaller than the sum of its proper divisors (181710147181328).

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

122010002110000 is a wasteful number, since it uses less digits than its factorization.

122010002110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098441 (or 1098420 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122010002110000 its reverse (11200010221), we get a palindrome (122021202120221).

The spelling of 122010002110000 in words is "one hundred twenty-two trillion, ten billion, two million, one hundred ten thousand".