102101000211112 has 128 divisors (see below), whose sum is σ = 228326650675200. Its totient is φ = 41896649664000.

The previous prime is 102101000211103. The next prime is 102101000211121. The reversal of 102101000211112 is 211112000101201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102101000211103) and next prime (102101000211121).

It is a super-2 number, since 2×102101000211112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101000211092 and 102101000211101.

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, 27001689 + ... + 30549847.

It is an arithmetic number, because the mean of its divisors is an integer number (1783801958400).

Almost surely, 2^{102101000211112} 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 102101000211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114163325337600).

102101000211112 is an abundant number, since it is smaller than the sum of its proper divisors (126225650464088).

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

102101000211112 is a wasteful number, since it uses less digits than its factorization.

102101000211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548447 (or 3548443 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102101000211112 its reverse (211112000101201), we get a palindrome (313213000312313).

The spelling of 102101000211112 in words is "one hundred two trillion, one hundred one billion, two hundred eleven thousand, one hundred twelve".