1011122414101 has 16 divisors (see below), whose sum is σ = 1023501982464. Its totient is φ = 998794105344.

The previous prime is 1011122414063. The next prime is 1011122414123. The reversal of 1011122414101 is 1014142211101.

It is a cyclic number.

It is not a de Polignac number, because 1011122414101 - 2¹⁵ = 1011122381333 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 (1011122414191) 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, 181429551 + ... + 181435123.

It is an arithmetic number, because the mean of its divisors is an integer number (63968873904).

Almost surely, 2^{1011122414101} is an apocalyptic number.

It is an amenable number.

1011122414101 is a deficient number, since it is larger than the sum of its proper divisors (12379568363).

1011122414101 is a wasteful number, since it uses less digits than its factorization.

1011122414101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 1011122414101 its reverse (1014142211101), we get a palindrome (2025264625202).

The spelling of 1011122414101 in words is "one trillion, eleven billion, one hundred twenty-two million, four hundred fourteen thousand, one hundred one".