2011012101102 has 128 divisors (see below), whose sum is σ = 4163079473280. Its totient is φ = 647400038400.

The previous prime is 2011012101101. The next prime is 2011012101107.

2011012101102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2011012101102² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011012101101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2357575308 + ... + 2357576160.

It is an arithmetic number, because the mean of its divisors is an integer number (32524058385).

Almost surely, 2^{2011012101102} is an apocalyptic number.

2011012101102 is an abundant number, since it is smaller than the sum of its proper divisors (2152067372178).

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

2011012101102 is a wasteful number, since it uses less digits than its factorization.

2011012101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558.

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 2011012101102 in words is "two trillion, eleven billion, twelve million, one hundred one thousand, one hundred two".