101012122212111 has 12 divisors (see below), whose sum is σ = 159170616819240. Its totient is φ = 61219468007280.

The previous prime is 101012122212101. The next prime is 101012122212149. The reversal of 101012122212111 is 111212221210101.

It is a happy number.

101012122212111 is a `hidden beast` number, since 10 + 10 + 1 + 212 + 221 + 211 + 1 = 666.

It is not a de Polignac number, because 101012122212111 - 2¹¹ = 101012122210063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012122212101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510162233296 + ... + 510162233493.

It is an arithmetic number, because the mean of its divisors is an integer number (13264218068270).

Almost surely, 2^{101012122212111} is an apocalyptic number.

101012122212111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101012122212111 is a deficient number, since it is larger than the sum of its proper divisors (58158494607129).

101012122212111 is a wasteful number, since it uses less digits than its factorization.

101012122212111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020324466806 (or 1020324466803 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101012122212111 its reverse (111212221210101), we get a palindrome (212224343422212).

It can be divided in two parts, 1010121 and 22212111, that added together give a palindrome (23222232).

The spelling of 101012122212111 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred twelve thousand, one hundred eleven".