101011120002 has 192 divisors, whose sum is σ = 247973806080. Its totient is φ = 29510635392.

The previous prime is 101011119983. The next prime is 101011120009. The reversal of 101011120002 is 200021110101.

It is a happy number.

It is a super-3 number, since 3×101011120002³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101011120009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78975999 + ... + 78977277.

It is an arithmetic number, because the mean of its divisors is an integer number (1291530240).

Almost surely, 2^101011120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123986903040).

101011120002 is an abundant number, since it is smaller than the sum of its proper divisors (146962686078).

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

101011120002 is a wasteful number, since it uses less digits than its factorization.

101011120002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101011120002 its reverse (200021110101), we get a palindrome (301032230103).

Subtracting 101011120002 from its reverse (200021110101), we obtain a palindrome (99009990099).

The spelling of 101011120002 in words is "one hundred one billion, eleven million, one hundred twenty thousand, two".