201121210110000 has 800 divisors, whose sum is σ = 669608480046528. Its totient is φ = 51983769600000.

The previous prime is 201121210109993. The next prime is 201121210110013. The reversal of 201121210110000 is 11012121102.

It is a super-2 number, since 2×201121210110000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30303026682 + ... + 30303033318.

Almost surely, 2^{201121210110000} is an apocalyptic number.

201121210110000 is a gapful number since it is divisible by the number (20) 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 201121210110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334804240023264).

201121210110000 is an abundant number, since it is smaller than the sum of its proper divisors (468487269936528).

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

201121210110000 is a wasteful number, since it uses less digits than its factorization.

201121210110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979 (or 6958 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201121210110000 its reverse (11012121102), we get a palindrome (201132222231102).

The spelling of 201121210110000 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred ten million, one hundred ten thousand".