101020211001112 has 128 divisors (see below), whose sum is σ = 209687740416000. Its totient is φ = 45331081689600.

The previous prime is 101020211001071. The next prime is 101020211001121. The reversal of 101020211001112 is 211100112020101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101020211001092 and 101020211001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384579689 + ... + 1384652647.

It is an arithmetic number, because the mean of its divisors is an integer number (1638185472000).

Almost surely, 2^{101020211001112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020211001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104843870208000).

101020211001112 is an abundant number, since it is smaller than the sum of its proper divisors (108667529414888).

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

101020211001112 is a wasteful number, since it uses less digits than its factorization.

101020211001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74441 (or 74437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101020211001112 its reverse (211100112020101), we get a palindrome (312120323021213).

The spelling of 101020211001112 in words is "one hundred one trillion, twenty billion, two hundred eleven million, one thousand, one hundred twelve".