1012022112101 has 32 divisors (see below), whose sum is σ = 1359003211776. Its totient is φ = 727818552000.

The previous prime is 1012022112029. The next prime is 1012022112121. The reversal of 1012022112101 is 1012112202101.

It is a cyclic number.

It is not a de Polignac number, because 1012022112101 - 2²² = 1012017917797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012022112121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6905456 + ... + 7050486.

It is an arithmetic number, because the mean of its divisors is an integer number (42468850368).

Almost surely, 2^{1012022112101} is an apocalyptic number.

1012022112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012022112101 is a deficient number, since it is larger than the sum of its proper divisors (346981099675).

1012022112101 is a wasteful number, since it uses less digits than its factorization.

1012022112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152033.

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

Adding to 1012022112101 its reverse (1012112202101), we get a palindrome (2024134314202).

It can be divided in two parts, 101 and 2022112101, that added together give a palindrome (2022112202).

The spelling of 1012022112101 in words is "one trillion, twelve billion, twenty-two million, one hundred twelve thousand, one hundred one".