101101111105542 has 64 divisors (see below), whose sum is σ = 212964854123520. Its totient is φ = 31908608653824.

The previous prime is 101101111105471. The next prime is 101101111105613. The reversal of 101101111105542 is 245501111101101.

It is an interprime number because it is at equal distance from previous prime (101101111105471) and next prime (101101111105613).

It is a super-2 number, since 2×101101111105542² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998859278 + ... + 2998892990.

It is an arithmetic number, because the mean of its divisors is an integer number (3327575845680).

Almost surely, 2^{101101111105542} is an apocalyptic number.

101101111105542 is an abundant number, since it is smaller than the sum of its proper divisors (111863743017978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101111105542 is a wasteful number, since it uses less digits than its factorization.

101101111105542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47837.

The product of its (nonzero) digits is 200, while the sum is 24.

Adding to 101101111105542 its reverse (245501111101101), we get a palindrome (346602222206643).

The spelling of 101101111105542 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred five thousand, five hundred forty-two".