11101010121972 has 192 divisors, whose sum is σ = 29239053312000. Its totient is φ = 3641692369536.

The previous prime is 11101010121959. The next prime is 11101010121973. The reversal of 11101010121972 is 27912101010111.

11101010121972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101010121973) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4304384179 + ... + 4304386757.

It is an arithmetic number, because the mean of its divisors is an integer number (152286736000).

Almost surely, 2^{11101010121972} is an apocalyptic number.

11101010121972 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 11101010121972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619526656000).

11101010121972 is an abundant number, since it is smaller than the sum of its proper divisors (18138043190028).

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

11101010121972 is a wasteful number, since it uses less digits than its factorization.

11101010121972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 27.

The spelling of 11101010121972 in words is "eleven trillion, one hundred one billion, ten million, one hundred twenty-one thousand, nine hundred seventy-two".