112121000001010 has 384 divisors, whose sum is σ = 283582580456448. Its totient is φ = 31355444736000.

The previous prime is 112121000000953. The next prime is 112121000001067. The reversal of 112121000001010 is 10100000121211.

It is an interprime number because it is at equal distance from previous prime (112121000000953) and next prime (112121000001067).

It is a super-2 number, since 2×112121000001010² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 778475764 + ... + 778619776.

It is an arithmetic number, because the mean of its divisors is an integer number (738496303272).

Almost surely, 2^{112121000001010} is an apocalyptic number.

112121000001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112121000001010 is an abundant number, since it is smaller than the sum of its proper divisors (171461580455438).

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

112121000001010 is a wasteful number, since it uses less digits than its factorization.

112121000001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144370 (or 144363 counting only the distinct ones).

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

Adding to 112121000001010 its reverse (10100000121211), we get a palindrome (122221000122221).

The spelling of 112121000001010 in words is "one hundred twelve trillion, one hundred twenty-one billion, one thousand, ten".