10001211101200 has 180 divisors, whose sum is σ = 26415088169904. Its totient is φ = 3636219488000.

The previous prime is 10001211101177. The next prime is 10001211101201. The reversal of 10001211101200 is 210111210001.

It is a super-2 number, since 2×10001211101200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10001211101201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 401271939 + ... + 401296861.

Almost surely, 2^{10001211101200} is an apocalyptic number.

10001211101200 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 10001211101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207544084952).

10001211101200 is an abundant number, since it is smaller than the sum of its proper divisors (16413877068704).

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

10001211101200 is a wasteful number, since it uses less digits than its factorization.

10001211101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33254 (or 33232 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001211101200 its reverse (210111210001), we get a palindrome (10211322311201).

The spelling of 10001211101200 in words is "ten trillion, one billion, two hundred eleven million, one hundred one thousand, two hundred".