11012101632 has 300 divisors, whose sum is σ = 38241520020. Its totient is φ = 3145734144.

The previous prime is 11012101613. The next prime is 11012101649. The reversal of 11012101632 is 23610121011.

11012101632 is a `hidden beast` number, since 1 + 10 + 1 + 21 + 0 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2029419 + ... + 2034837.

Almost surely, 2^11012101632 is an apocalyptic number.

11012101632 is a gapful number since it is divisible by the number (12) 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 11012101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19120760010).

11012101632 is an abundant number, since it is smaller than the sum of its proper divisors (27229418388).

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

11012101632 is an frugal number, since it uses more digits than its factorization.

11012101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11012101632 its reverse (23610121011), we get a palindrome (34622222643).

The spelling of 11012101632 in words is "eleven billion, twelve million, one hundred one thousand, six hundred thirty-two".