10122312101 has 32 divisors (see below), whose sum is σ = 11696420736. Its totient is φ = 8676864000.

The previous prime is 10122312089. The next prime is 10122312131. The reversal of 10122312101 is 10121322101.

It is a cyclic number.

It is not a de Polignac number, because 10122312101 - 2¹⁰ = 10122311077 is a prime.

It is a super-2 number, since 2×10122312101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122312131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1878431 + ... + 1883811.

It is an arithmetic number, because the mean of its divisors is an integer number (365513148).

Almost surely, 2^10122312101 is an apocalyptic number.

10122312101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122312101 is a deficient number, since it is larger than the sum of its proper divisors (1574108635).

10122312101 is a wasteful number, since it uses less digits than its factorization.

10122312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5573.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10122312101 its reverse (10121322101), we get a palindrome (20243634202).

It can be divided in two parts, 10122 and 312101, that added together give a palindrome (322223).

The spelling of 10122312101 in words is "ten billion, one hundred twenty-two million, three hundred twelve thousand, one hundred one".