10210021122000 has 240 divisors, whose sum is σ = 38291330930112. Its totient is φ = 2333719046400.

The previous prime is 10210021121987. The next prime is 10210021122011. The reversal of 10210021122000 is 22112001201.

10210021122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10210021122000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17069982 + ... + 17657981.

Almost surely, 2^{10210021122000} is an apocalyptic number.

10210021122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210021122000 is an abundant number, since it is smaller than the sum of its proper divisors (28081309808112).

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

10210021122000 is a wasteful number, since it uses less digits than its factorization.

10210021122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34728003 (or 34727980 counting only the distinct ones).

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

Adding to 10210021122000 its reverse (22112001201), we get a palindrome (10232133123201).

The spelling of 10210021122000 in words is "ten trillion, two hundred ten billion, twenty-one million, one hundred twenty-two thousand".