101222011022132 has 192 divisors, whose sum is σ = 240275321491968. Its totient is φ = 36030458880000.

The previous prime is 101222011022123. The next prime is 101222011022141. The reversal of 101222011022132 is 231220110222101.

It is an interprime number because it is at equal distance from previous prime (101222011022123) and next prime (101222011022141).

It is a super-2 number, since 2×101222011022132² (a number of 29 digits) contains 22 as substring.

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, 1194162632 + ... + 1194247392.

It is an arithmetic number, because the mean of its divisors is an integer number (1251433966104).

Almost surely, 2^{101222011022132} 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 101222011022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120137660745984).

101222011022132 is an abundant number, since it is smaller than the sum of its proper divisors (139053310469836).

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

101222011022132 is a wasteful number, since it uses less digits than its factorization.

101222011022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87850 (or 87848 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101222011022132 its reverse (231220110222101), we get a palindrome (332442121244233).

The spelling of 101222011022132 in words is "one hundred one trillion, two hundred twenty-two billion, eleven million, twenty-two thousand, one hundred thirty-two".