101020101222000 has 640 divisors, whose sum is σ = 352491887075328. Its totient is φ = 24822673920000.

The previous prime is 101020101221969. The next prime is 101020101222013. The reversal of 101020101222000 is 222101020101.

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 127 ways as a sum of consecutive naturals, for example, 515608057 + ... + 515803943.

Almost surely, 2^{101020101222000} is an apocalyptic number.

101020101222000 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 101020101222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176245943537664).

101020101222000 is an abundant number, since it is smaller than the sum of its proper divisors (251471785853328).

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

101020101222000 is a wasteful number, since it uses less digits than its factorization.

101020101222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196074 (or 196058 counting only the distinct ones).

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

Adding to 101020101222000 its reverse (222101020101), we get a palindrome (101242202242101).

It can be divided in two parts, 101020101 and 222000, that added together give a palindrome (101242101).

The spelling of 101020101222000 in words is "one hundred one trillion, twenty billion, one hundred one million, two hundred twenty-two thousand".