101102212002000 has 320 divisors, whose sum is σ = 358908926358528. Its totient is φ = 24280563520000.

The previous prime is 101102212001969. The next prime is 101102212002017. The reversal of 101102212002000 is 200212201101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96186 + ... + 14220185.

Almost surely, 2^{101102212002000} is an apocalyptic number.

101102212002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102212002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179454463179264).

101102212002000 is an abundant number, since it is smaller than the sum of its proper divisors (257806714356528).

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

101102212002000 is a wasteful number, since it uses less digits than its factorization.

101102212002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14316515 (or 14316499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101102212002000 its reverse (200212201101), we get a palindrome (101302424203101).

The spelling of 101102212002000 in words is "one hundred one trillion, one hundred two billion, two hundred twelve million, two thousand".