10122220211000 has 128 divisors (see below), whose sum is σ = 24137263949760. Its totient is φ = 3971775808000.

The previous prime is 10122220210967. The next prime is 10122220211027. The reversal of 10122220211000 is 11202222101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366587195 + ... + 366614805.

Almost surely, 2^{10122220211000} is an apocalyptic number.

10122220211000 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 10122220211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068631974880).

10122220211000 is an abundant number, since it is smaller than the sum of its proper divisors (14015043738760).

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

10122220211000 is a wasteful number, since it uses less digits than its factorization.

10122220211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34602 (or 34588 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122220211000 its reverse (11202222101), we get a palindrome (10133422433101).

The spelling of 10122220211000 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty million, two hundred eleven thousand".