101211112002 has 192 divisors, whose sum is σ = 277167744000. Its totient is φ = 24219861120.

The previous prime is 101211111971. The next prime is 101211112081. The reversal of 101211112002 is 200211112101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25181149 + ... + 25185167.

It is an arithmetic number, because the mean of its divisors is an integer number (1443582000).

Almost surely, 2^101211112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138583872000).

101211112002 is an abundant number, since it is smaller than the sum of its proper divisors (175956631998).

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

101211112002 is a wasteful number, since it uses less digits than its factorization.

101211112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4654 counting only the distinct ones).

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

Adding to 101211112002 its reverse (200211112101), we get a palindrome (301422224103).

Subtracting 101211112002 from its reverse (200211112101), we obtain a palindrome (99000000099).

The spelling of 101211112002 in words is "one hundred one billion, two hundred eleven million, one hundred twelve thousand, two".