101112210100000 has 360 divisors, whose sum is σ = 273698658453780. Its totient is φ = 36767544000000.

The previous prime is 101112210099919. The next prime is 101112210100001. The reversal of 101112210100000 is 1012211101.

It can be written as a sum of positive squares in 6 ways, for example, as 7475390301456 + 93636819798544 = 2734116^2 + 9676612^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 101112210100000.

It is not an unprimeable number, because it can be changed into a prime (101112210100001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1464065470 + ... + 1464134530.

Almost surely, 2^{101112210100000} is an apocalyptic number.

101112210100000 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 101112210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136849329226890).

101112210100000 is an abundant number, since it is smaller than the sum of its proper divisors (172586448353780).

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

101112210100000 is an frugal number, since it uses more digits than its factorization.

101112210100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69140 (or 69079 counting only the distinct ones).

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

Adding to 101112210100000 its reverse (1012211101), we get a palindrome (101113222311101).

The spelling of 101112210100000 in words is "one hundred one trillion, one hundred twelve billion, two hundred ten million, one hundred thousand".