10210011122000 has 160 divisors (see below), whose sum is σ = 24736604256000. Its totient is φ = 4075941696000.

The previous prime is 10210011121987. The next prime is 10210011122021. The reversal of 10210011122000 is 22111001201.

It is a super-2 number, since 2×10210011122000² (a number of 27 digits) contains 22 as substring.

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, 2851160210 + ... + 2851163790.

It is an arithmetic number, because the mean of its divisors is an integer number (154603776600).

Almost surely, 2^{10210011122000} is an apocalyptic number.

10210011122000 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 10210011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368302128000).

10210011122000 is an abundant number, since it is smaller than the sum of its proper divisors (14526593134000).

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

10210011122000 is a wasteful number, since it uses less digits than its factorization.

10210011122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6022 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10210011122000 its reverse (22111001201), we get a palindrome (10232122123201).

The spelling of 10210011122000 in words is "ten trillion, two hundred ten billion, eleven million, one hundred twenty-two thousand".