10211012121101 has 16 divisors (see below), whose sum is σ = 11195715840000. Its totient is φ = 9235717167600.

The previous prime is 10211012121091. The next prime is 10211012121113. The reversal of 10211012121101 is 10112121011201.

It is not a de Polignac number, because 10211012121101 - 2²² = 10211007926797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211012121601) 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, 63819200 + ... + 63978998.

It is an arithmetic number, because the mean of its divisors is an integer number (699732240000).

Almost surely, 2^{10211012121101} is an apocalyptic number.

10211012121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211012121101 is a deficient number, since it is larger than the sum of its proper divisors (984703718899).

10211012121101 is a wasteful number, since it uses less digits than its factorization.

10211012121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189200.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10211012121101 its reverse (10112121011201), we get a palindrome (20323133132302).

The spelling of 10211012121101 in words is "ten trillion, two hundred eleven billion, twelve million, one hundred twenty-one thousand, one hundred one".