201102121112000 has 224 divisors, whose sum is σ = 527397867524736. Its totient is φ = 75698608128000.

The previous prime is 201102121111993. The next prime is 201102121112003. The reversal of 201102121112000 is 211121201102.

It is a super-2 number, since 2×201102121112000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102121112003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025477957 + ... + 1025674043.

Almost surely, 2^{201102121112000} is an apocalyptic number.

201102121112000 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 201102121112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263698933762368).

201102121112000 is an abundant number, since it is smaller than the sum of its proper divisors (326295746412736).

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

201102121112000 is a wasteful number, since it uses less digits than its factorization.

201102121112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203672 (or 203652 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201102121112000 its reverse (211121201102), we get a palindrome (201313242313102).

It can be divided in two parts, 20110212 and 1112000, that added together give a palindrome (21222212).

The spelling of 201102121112000 in words is "two hundred one trillion, one hundred two billion, one hundred twenty-one million, one hundred twelve thousand".