1022011012112 has 40 divisors (see below), whose sum is σ = 2001690882840. Its totient is φ = 505455436800.

The previous prime is 1022011012031. The next prime is 1022011012153. The reversal of 1022011012112 is 2112101102201.

1022011012112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 802271324416 + 219739687696 = 895696^2 + 468764^2 .

It is a super-2 number, since 2×1022011012112² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1363214 + ... + 1975442.

It is an arithmetic number, because the mean of its divisors is an integer number (50042272071).

Almost surely, 2^{1022011012112} is an apocalyptic number.

It is an amenable number.

1022011012112 is a deficient number, since it is larger than the sum of its proper divisors (979679870728).

1022011012112 is a wasteful number, since it uses less digits than its factorization.

1022011012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613371 (or 613365 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1022011012112 its reverse (2112101102201), we get a palindrome (3134112114313).

The spelling of 1022011012112 in words is "one trillion, twenty-two billion, eleven million, twelve thousand, one hundred twelve".