1012101122021 has 16 divisors (see below), whose sum is σ = 1140113346048. Its totient is φ = 890109537600.

The previous prime is 1012101122009. The next prime is 1012101122027. The reversal of 1012101122021 is 1202211012101.

It is a cyclic number.

It is not a de Polignac number, because 1012101122021 - 2¹⁴ = 1012101105637 is a prime.

It is a super-3 number, since 3×1012101122021³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012101121987 and 1012101122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012101122027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506471 + ... + 1510203.

It is an arithmetic number, because the mean of its divisors is an integer number (71257084128).

Almost surely, 2^{1012101122021} is an apocalyptic number.

1012101122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012101122021 is a deficient number, since it is larger than the sum of its proper divisors (128012224027).

1012101122021 is a wasteful number, since it uses less digits than its factorization.

1012101122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006732.

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

Adding to 1012101122021 its reverse (1202211012101), we get a palindrome (2214312134122).

The spelling of 1012101122021 in words is "one trillion, twelve billion, one hundred one million, one hundred twenty-two thousand, twenty-one".