11210011401000 has 256 divisors, whose sum is σ = 36642347089920. Its totient is φ = 2849726880000.

The previous prime is 11210011400993. The next prime is 11210011401013. The reversal of 11210011401000 is 10411001211.

It is a super-2 number, since 2×11210011401000² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5331465 + ... + 7130535.

It is an arithmetic number, because the mean of its divisors is an integer number (143134168320).

Almost surely, 2^{11210011401000} is an apocalyptic number.

11210011401000 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 11210011401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18321173544960).

11210011401000 is an abundant number, since it is smaller than the sum of its proper divisors (25432335688920).

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

11210011401000 is a wasteful number, since it uses less digits than its factorization.

11210011401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799193 (or 1799179 counting only the distinct ones).

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

Adding to 11210011401000 its reverse (10411001211), we get a palindrome (11220422402211).

The spelling of 11210011401000 in words is "eleven trillion, two hundred ten billion, eleven million, four hundred one thousand".