1020101322000 has 160 divisors (see below), whose sum is σ = 3377694063744. Its totient is φ = 264674880000.

The previous prime is 1020101321923. The next prime is 1020101322061. The reversal of 1020101322000 is 2231010201.

It is a super-2 number, since 2×1020101322000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2075526 + ... + 2519525.

Almost surely, 2^{1020101322000} is an apocalyptic number.

1020101322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020101322000 is an abundant number, since it is smaller than the sum of its proper divisors (2357592741744).

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

1020101322000 is a wasteful number, since it uses less digits than its factorization.

1020101322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595114 (or 4595098 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1020101322000 its reverse (2231010201), we get a palindrome (1022332332201).

The spelling of 1020101322000 in words is "one trillion, twenty billion, one hundred one million, three hundred twenty-two thousand".