201101121101102 has 32 divisors (see below), whose sum is σ = 307037560418784. Its totient is φ = 98760099427200.

The previous prime is 201101121100963. The next prime is 201101121101117.

201101121101102 is nontrivially palindromic in base 10.

201101121101102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201101121101102² (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 15 ways as a sum of consecutive naturals, for example, 261995708 + ... + 262762160.

It is an arithmetic number, because the mean of its divisors is an integer number (9594923763087).

Almost surely, 2^{201101121101102} is an apocalyptic number.

201101121101102 is a deficient number, since it is larger than the sum of its proper divisors (105936439317682).

201101121101102 is a wasteful number, since it uses less digits than its factorization.

201101121101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769604.

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 201101121101102 in words is "two hundred one trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, one hundred two".