101210012111012 has 96 divisors (see below), whose sum is σ = 207513392486400. Its totient is φ = 42288070406400.

The previous prime is 101210012111003. The next prime is 101210012111023. The reversal of 101210012111012 is 210111210012101.

It is a super-3 number, since 3×101210012111012³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 5010138512 + ... + 5010158712.

It is an arithmetic number, because the mean of its divisors is an integer number (2161597838400).

Almost surely, 2^{101210012111012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210012111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103756696243200).

101210012111012 is an abundant number, since it is smaller than the sum of its proper divisors (106303380375388).

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

101210012111012 is a wasteful number, since it uses less digits than its factorization.

101210012111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27801 (or 27799 counting only the distinct ones).

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

Adding to 101210012111012 its reverse (210111210012101), we get a palindrome (311321222123113).

The spelling of 101210012111012 in words is "one hundred one trillion, two hundred ten billion, twelve million, one hundred eleven thousand, twelve".