10122021010101 has 192 divisors, whose sum is σ = 18515834910720. Its totient is φ = 4834892643840.

The previous prime is 10122021010027. The next prime is 10122021010109. The reversal of 10122021010101 is 10101012022101.

It is not a de Polignac number, because 10122021010101 - 2⁷ = 10122021009973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122021010109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11411522680 + ... + 11411523566.

It is an arithmetic number, because the mean of its divisors is an integer number (96436640160).

Almost surely, 2^{10122021010101} is an apocalyptic number.

10122021010101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122021010101 is a deficient number, since it is larger than the sum of its proper divisors (8393813900619).

10122021010101 is a wasteful number, since it uses less digits than its factorization.

10122021010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10122021010101 its reverse (10101012022101), we get a palindrome (20223033032202).

The spelling of 10122021010101 in words is "ten trillion, one hundred twenty-two billion, twenty-one million, ten thousand, one hundred one".