1022101101000 has 384 divisors, whose sum is σ = 3951771183360. Its totient is φ = 233413632000.

The previous prime is 1022101100983. The next prime is 1022101101001. The reversal of 1022101101000 is 1011012201.

It is a happy number.

It is a super-3 number, since 3×1022101101000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1022101101001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76664335 + ... + 76677665.

It is an arithmetic number, because the mean of its divisors is an integer number (10291070790).

Almost surely, 2^{1022101101000} is an apocalyptic number.

1022101101000 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 1022101101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975885591680).

1022101101000 is an abundant number, since it is smaller than the sum of its proper divisors (2929670082360).

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

1022101101000 is a wasteful number, since it uses less digits than its factorization.

1022101101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14582 (or 14565 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1022101101000 its reverse (1011012201), we get a palindrome (1023112113201).

The spelling of 1022101101000 in words is "one trillion, twenty-two billion, one hundred one million, one hundred one thousand".