10122211200101 has 48 divisors (see below), whose sum is σ = 13857805928448. Its totient is φ = 7178165467200.

The previous prime is 10122211200091. The next prime is 10122211200103. The reversal of 10122211200101 is 10100211222101.

It is not a de Polignac number, because 10122211200101 - 2¹⁴ = 10122211183717 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 (10122211200103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4553921 + ... + 6401766.

It is an arithmetic number, because the mean of its divisors is an integer number (288704290176).

Almost surely, 2^{10122211200101} is an apocalyptic number.

10122211200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122211200101 is a deficient number, since it is larger than the sum of its proper divisors (3735594728347).

10122211200101 is a wasteful number, since it uses less digits than its factorization.

10122211200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10955802 (or 10955789 counting only the distinct ones).

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

Adding to 10122211200101 its reverse (10100211222101), we get a palindrome (20222422422202).

The spelling of 10122211200101 in words is "ten trillion, one hundred twenty-two billion, two hundred eleven million, two hundred thousand, one hundred one".