10211012102101 has 16 divisors (see below), whose sum is σ = 10637288661888. Its totient is φ = 9793766188800.

The previous prime is 10211012102017. The next prime is 10211012102107. The reversal of 10211012102101 is 10120121011201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10211012102101 - 2⁷ = 10211012101973 is a prime.

It is a super-2 number, since 2×10211012102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211012102107) 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, 2313240 + ... + 5076721.

It is an arithmetic number, because the mean of its divisors is an integer number (664830541368).

Almost surely, 2^{10211012102101} is an apocalyptic number.

It is an amenable number.

10211012102101 is a deficient number, since it is larger than the sum of its proper divisors (426276559787).

10211012102101 is an equidigital number, since it uses as much as digits as its factorization.

10211012102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7390572.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10211012102101 its reverse (10120121011201), we get a palindrome (20331133113302).

The spelling of 10211012102101 in words is "ten trillion, two hundred eleven billion, twelve million, one hundred two thousand, one hundred one".