11402150100 has 144 divisors (see below), whose sum is σ = 36033693696. Its totient is φ = 2760752000.

The previous prime is 11402150093. The next prime is 11402150117. The reversal of 11402150100 is 105120411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11402150100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3598717 + ... + 3601883.

It is an arithmetic number, because the mean of its divisors is an integer number (250233984).

Almost surely, 2^11402150100 is an apocalyptic number.

11402150100 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 11402150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016846848).

11402150100 is an abundant number, since it is smaller than the sum of its proper divisors (24631543596).

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

11402150100 is a wasteful number, since it uses less digits than its factorization.

11402150100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 11402150100 its reverse (105120411), we get a palindrome (11507270511).

The spelling of 11402150100 in words is "eleven billion, four hundred two million, one hundred fifty thousand, one hundred".