10211010122000 has 40 divisors (see below), whose sum is σ = 24690222479832. Its totient is φ = 4084404048000.

The previous prime is 10211010121979. The next prime is 10211010122147. The reversal of 10211010122000 is 22101011201.

It can be written as a sum of positive squares in 4 ways, for example, as 401611177984 + 9809398944016 = 633728^2 + 3131996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×10211010122000⁴ (a number of 53 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2552750531 + ... + 2552754530.

Almost surely, 2^{10211010122000} is an apocalyptic number.

10211010122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211010122000 is an abundant number, since it is smaller than the sum of its proper divisors (14479212357832).

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

10211010122000 is an equidigital number, since it uses as much as digits as its factorization.

10211010122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105505084 (or 5105505068 counting only the distinct ones).

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

Adding to 10211010122000 its reverse (22101011201), we get a palindrome (10233111133201).

The spelling of 10211010122000 in words is "ten trillion, two hundred eleven billion, ten million, one hundred twenty-two thousand".